1. You plan to purchase custom printed lunch coolers for your school staff. If you order 50 or more lunch coolers, there will be a $45 setup fee and each lunch cooler will cost $3. a. Write an equation for the total cost, C, in dollars for purchasing L lunch coolers. b. How much would 75 lunch coolers cost?
Chapter 1, Section 1, Example 1
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2. c. How many lunch coolers can you purchase with a budget of $400?
Chapter 1, Section 1, Example 1
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3. Golf Carts To Go sells refurbished golf carts in south Florida
Golf Carts To Go sells refurbished golf carts in south Florida. The company has fixed costs of $26,000 per month for rent, salary and utilities. They can buy used carts and refurbish them for an average of $1,400 each. They sell the carts for an average price of $2500 each. Golf Carts To Go can only refurbish 55 carts a month. a. Write an equation for the monthly cost of refurbishing n carts.
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4. Golf Carts To Go sells refurbished golf carts in south Florida
Golf Carts To Go sells refurbished golf carts in south Florida. The company has fixed costs of $26,000 per month for rent, salary and utilities. They can buy used carts and refurbish them for an average of $1,400 each. They sell the carts for an average price of $2500 each. Golf Carts To Go can only refurbish 55 carts a month. b. Write an equation for the monthly revenue from selling golf carts.
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5. Golf Carts To Go sells refurbished golf carts in south Florida
Golf Carts To Go sells refurbished golf carts in south Florida. The company has fixed costs of $26,000 per month for rent, salary and utilities. They can buy used carts and refurbish them for an average of $1,400 each. They sell the carts for an average price of $2500 each. Golf Carts To Go can only refurbish 55 carts a month. c. Write an equation for the monthly profit the company makes if they refurbish and sell n carts.
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6. d. What is the profit of refurbishing and selling 25 golf carts?
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7. e. How many golf carts does the company have to refurbish and
e. How many golf carts does the company have to refurbish and sell to earn $20,000 profit?
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8. Golf Carts To Go can only refurbish 55 carts a month. f
Golf Carts To Go can only refurbish 55 carts a month. f. How many golf carts does the company have to refurbish and sell to earn $40,000 profit?
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9. Solve
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10. Solve
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11. Solve for p. Solve for r.
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12. Solve for x.
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13. Create a scatterplot of the data given in the table
Create a scatterplot of the data given in the table. The percent of adults aged 20 years and over in the United States who are considered obese are given in the table Source: CDC 2008 National Health Interview Survey.
Year
Percent
2004
24.5
2005
25.4
2006
26.4
2007
26.7
2008
26.8
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14. a. Using the scatterplot of the obesity data from before, draw an
a. Using the scatterplot of the obesity data from before, draw an “eyeball best fit” line through the data.
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15. b. Using your eyeball best-fit line, make a prediction for the percentage of adults in the United States who were considered obese in 2010.
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16. Use the graph to answer the following questions. a
Use the graph to answer the following questions a. Estimate the vertical intercept b. Estimate the horizontal intercept.
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17. Use the graph to answer the following questions. c
Use the graph to answer the following questions c. Estimate the input value that makes the output of this graph equal d. Estimate the output value of this graph when the input value is
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18. Determine a reasonable domain and range for the graphical model found for the obesity data.
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19. The percentage of students in twelfth grade who report smoking daily is given in the table. Source: a. Create a scatterplot for these data and draw an “eyeball best fit” line through the data.
Year
Percent
2000
20.6
2001
19.0
2002
16.9
2003
15.8
2004
15.6
2005
13.6
2006
12.2
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20. b. Determine the vertical. intercept for this model
b. Determine the vertical intercept for this model. Explain its meaning in this situation c. Find a reasonable domain and range for this model.
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21. d. According to your graphical. model, what percentage of
d. According to your graphical model, what percentage of twelfth grade students reported smoking daily in 2007?
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22. Graph the equations by creating a table of values and plotting the points. a. b.
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23. An equation for the total cost, C, in dollars for purchasing L lunch coolers is a. Create a table of points that satisfy this equation.
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24. An equation for the total cost, C, in dollars for purchasing L lunch coolers is b. Create a graph for the equation using your points. Label your graph with units.
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25. Use the graph to estimate the slope of the line and determine if the line is increasing or decreasing.
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26. Find the slope of the line passing through the points given in the table.x y 5 8 6
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27. Determine if the points given in the table all lie on a line. a.x y 6 11 10 16 12
18.5 22 31
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28. Determine if the points given in the table all lie on a line. b.x y
5.4 2
3.4 4
2.8 8 1
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29. Find the slope and y-intercept of the following lines. a. b.
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30. Find the slope and y-intercept of the following lines. c.
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31. Find the slope of the model and explain its meaning in the given situation. a. Let be the total cost in dollars to produce p pizzas a day at a local pizzeria.
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32. Find the slope of the model and explain its meaning in the given situation. b. Let be the percentage of adults aged 18 years old and over in the United States that have been diagnosed with diabetes, t years since Source: CDC.
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33. Sketch the graph of the following lines. Label the vertical intercept
Sketch the graph of the following lines. Label the vertical intercept. a b.
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34. Rewrite the following equations in general form. a. b.
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35. Find the vertical and horizontal intercepts, and explain their meaning in the given situation. Let be the percentage of adults aged 18 years old and over in the United States that have been diagnosed with diabetes, t years since Source: CDC.
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36. Find the horizontal and vertical intercepts of
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37. Find the intercepts and graph the line
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38. Sketch the graph of the following lines a.
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39. Sketch the graph of the following lines b.
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40. Write the equation of the line that passes through the points
Write the equation of the line that passes through the points (4,3) and (20,-17)
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41. A business purchased a production machine in 2005 for $185,000
A business purchased a production machine in 2005 for $185,000. For tax purposes, the value of the machine in 2011 was $129,500. If the business is using straight line depreciation, write the equation of the line that gives the value of the machine based on the age of the machine in years.
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42. According to www. childtrendsdatabank
According to the number of newly diagnosed AIDS cases for adolescents years old in the United States was 310 in 2000 and 458 in Assume that the number of cases is growing at a constant rate, and write an equation to represent this situation.
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43. Use the point slope formula to write the equation of the line that passes through the points and .
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44. a. Write the equation of the line that passes through the points in
a. Write the equation of the line that passes through the points in the table. x y 5 13 7
15.8 15 27 18
31.2
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45. b. Write the equation of the line shown in the graph.
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46. a. Write the equation of the line that goes through the point
a. Write the equation of the line that goes through the point and is perpendicular to the line
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47. b. Write the equation of the line that goes through the point (8,11)
b. Write the equation of the line that goes through the point (8,11) and is parallel to the line
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48. Using the value of the production machine equation we found earlier, answer the following: a. What is the slope of the equation? What does it represent in regard to the value of the machine? b. What is the vertical intercept of the equation? What does it represent in this situation?
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49. Using the value of the production machine equation we found earlier, answer the following: c. What is the horizontal intercept of the equation? What does it represent in this situation?
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50. Using the AIDS equation found in classroom example 3, answer the following: a. What is the slope of the equation? What does it mean in this situation? b. What is the vertical intercept for the equation? What does it represent in this situation?
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51. There were 44.1 million major home appliances shipped in the United States in In 2009 only 36.7 million were shipped. Source: Association of Home Appliance Manufacturers. a. Write an equation for the number of major home appliances shipped in the US t years since b. What is the slope of the equation found in part a? What does it represent?
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52. There were 44.1 million major home appliances shipped in the United States in In 2009 only 36.7 million were shipped. Source: Association of Home Appliance Manufacturers. c. What is the vertical intercept for the equation you found in part a? What does it represent?
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53. Population (millions) 2003 8.41 2004 8.52 2005 8.66 2006 8.85 2007
Create a scatter plot on your graphing calculator for the population data for North Carolina given in the table Source: Population Division, U.S. Census Bureau
Year
Population (millions)
2003
8.41
2004
8.52
2005
8.66
2006
8.85
2007
9.04
2008
9.22
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54. Find an equation for a model of the population of North Carolina data given earlier.
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55. The total revenue for GE is given in the table
The total revenue for GE is given in the table Source: GE 2008 annual report a. Find an equation for a model of these data.
Year
Revenue (billions $)
2004
124
2005
136
2006
152
2007
172
2008
183
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56. The total revenue for GE is given in the table. b
The total revenue for GE is given in the table. b. Using your model estimate GE’s revenue in c. What is the slope of your model? What does it mean in regards to GE’s revenue? d. Determine a reasonable domain and range for the model.
Year
Revenue (billions $)
2004
124
2005
136
2006
152
2007
172
2008
183
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57. Temperature degrees Fahrenheit 90 88 91 93
Determine whether the following descriptions of relations are functions or not. a. The set b c. Weekly salaries during the mth month of the year.
Day of week
Monday
Wednesday
Saturday
Temperature degrees Fahrenheit 90 88 91 93
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58. a. Is the equation a function or not. b
a. Is the equation a function or not? b. Is the equation a function or not?
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59. c. Does the graph represent a function?
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60. = The height of a toy rocket in feet t second after launch
= The height of a toy rocket in feet t second after launch. Interpret the mathematical statement
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61. The population of Wisconsin, in millions, is given in the table
The population of Wisconsin, in millions, is given in the table. Source: Let P(t) be the population of Wisconsin, in millions, t years since a. Find an equation for a model of these data. Write your model in function notation b. Determine a reasonable domain and range for your model.
Year
Population
(in millions)
2003
5.47
2004
5.51
2005
5.54
2006
5.57
2007
5.60
2008
5.63
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62. The population of Wisconsin, in millions, is given in the table
The population of Wisconsin, in millions, is given in the table. Source: c. Find P(14) and interpret its meaning in regard to the population of Wisconsin d. Find when P(t) = 5.75 and interpret its meaning in regard to the population of Wisconsin.
Year
Population
(in millions)
2003
5.47
2004
5.51
2005
5.54
2006
5.57
2007
5.60
2008
5.63
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63. Let Find the following. a.
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64. Let Find the following. b.
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65. Let Find the following. c. x such that
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66. Use the graph to estimate the following. a. b. x such that
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67. Determine the domain and range of the following functions a. b.
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