1. Unit 1 Linear Functions Review Problems
Finite 1-R

2. Test Information This is an 80 point test.
The two questions pertaining to regression are 20 point questions
You will need a calculator, or a Chromebook to complete the test
Test Information

3. Sketch the graph of the line given the equation
Review Problem 1

4. Sketch the graph of the line given the equation
Review Problem 2

5. Sketch the graph of the line given the equation
Review Problem 3

6. Sketch the graph of the line given the equation
Review Problem 4

7. Write an equation for the graph shown
Review Problem 5

8. Write an equation for the graph shown
Review Problem 6

9. Write an equation for the graph shown
Review Problem 7

10. Write an equation for the graph shown
Review Problem 8

11. Find the slope of a line through the two points given
Review Problem 9

12. Find the slope of a line through the two points given
Review Problem 10

13. Find the slope of a line through the two points given
Review Problem 11

14. Write an equation of the line described
Review Problem 12

15. Write an equation of the line described
Review Problem 13

16. Write an equation of the line described
Review Problem 14

17. 15 Review Problem C = 0.15x + 0.40 2 miles $1.60
A ride in Uber costs $0.40 plus $0.15 per mile.
Write and graph an equation for traveling x miles with Uber
Uber charges $0.70 for a ride of how many miles?
How much does the Uber charge for a trip of 8 miles?
C = 0.15x
2 miles
$1.60
Review Problem 15

18. It has been observed that a particular plant's growth is directly proportional to time. It measured 2 cm when it arrived at the nursery and 2.5 cm exactly one week later. If the plant continues to grow at this rate, determine the function that represents the plant's growth and graph it.
y= 0.5 x + 2
Review Problem 16

19. A car rental charge is $100 per day plus $0. 30 per mile travelled
A car rental charge is $100 per day plus $0.30 per mile travelled. Determine the equation of the line that represents the daily cost by the number of miles travelled and graph it. If a total of 300 miles was travelled in one day, how much is the rental company going to receive as a payment?
y = 0.3 x +100
y = 0.3 · = $190
Review Problem 17

20. The pollution level in the center of a city at 6 am is 30 parts per million and it grows in linear fashion by 25 parts per million every hour. If y is pollution and t is time elapsed after 6 am, determine:
The equation that relates y with t.
y = t
The pollution level at 4 o'clock in the afternoon.
f(10) = · 10 = 280
Review Problem 18

21. The population of Bay Village is 35,000 today
The population of Bay Village is 35,000 today. Every year the population of Bay Village increases by 750 people.
Write a linear model that represents the population of Bay Village x years from today.
In approximately many years will the population of Bay Village exceed 50,000 people?
y = 35, x
20 years
Review Problem 19

22. A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year.
Write a linear model that shows the salesperson’s total income based on total sales of k dollars.
If the salesperson sells $250,000 worth of merchandise, what is her total income for the year, including her base salary?
y = 35, k
$60,000
Review Problem 20

23. The following data refers to the ten teams in the Atlantic and Central Divisions of the National Basketball Association.
Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot.
One of the teams in the Southeastern Division has an overall winning percentage of Predict this team’s home winning percentage.
home = *Overall
home =
Review Problem 21

24. The table to the right displays airfare ticket prices for distances flown in miles
Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot.
For a flight of 450 miles, what is your anticipated fare?
$213
Review Problem 22

25. The table to the right displays experimental data of golf club head speed in miles per hour and distance in yards for golf balls
Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot.
If you wanted to hit a distance of 220 yards, what head speed should you expect to have?
87 mph
Review Problem 23

26. The table to the right displays the total length and weight of a group of black bears captured at smokey mountain national park
Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot.
If you see a bear that you believe to be 140 inches long, how heavy should you expect the bear?
95 pounds
Review Problem 24

27. ANSWERS

28. Review Problem 2 miles $1.60 y = 35,000 + 750x 20 years
C = 0.15x
2 miles
y = t
$1.60
f(10) = · 10 = 280
y = 35, x
20 years
y = 35, k
y= 0.5 x + 2
$60,000
home = *Overall
home =
Review Problem

29. $213
87 mph
95 pounds
Review Problem