Do Now: 4) Has a slope of 0 and goes through the point (5,9) 5) Has an undefined slope and goes through the point (5,9) 9)Passes through the point (6,1)(6,4)

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Presentation transcript:

Do Now: 4) Has a slope of 0 and goes through the point (5,9) 5) Has an undefined slope and goes through the point (5,9) 9)Passes through the point (6,1)(6,4) 10)Passes through the point (7,3) and (2,3) 15)Write the equation of the line that is parallel to the line that goes through the points (-1,-2) and (-2,-8) 16) Write the equation of the line containing the point (4, 6) and parallel to x = 5 17)Write the equation of the line containing the point (1, -4) and perpendicular to x = -1.

Chapter 5 Word Problems

Word Problem You are in charge of buying the hamburgers and chicken for a BBQ. The hamburgers cost $2 per pound and the chicken costs $3 per pound. You have $30 to spend. – Write an equation that models the different amounts of hamburgers and chicken you can buy.

Problem 1 In 1990 California had a population of about million. During the next 15 years, the state’s population was expected to increase by an average of about.31 million per year. – Write an equation to approximate the expected population in any year between – Use the equation to predict the population of California in 2005

Problem 2 Between 1985 and 1995, the number of vacation trips in the United States taken by US residents increased by about 26 million per year. In 1993, US residents when on 740 million vacation trips within the US. – Write a linear equation that models the number of vacation trips taken by US residents. – Estimate the number of vacation trips in the year 2005

Problem 3 While working at a archaeological dig, you find a 43 cm femur bone that belonged to an adult human male. In humans, femur length is linearly related to height. In previous digs you found a 40 cm femur that belonged to a male that was 162 cm tall and a 45 cm femur that belonged to a male that was 173 cm tall. Use this information to write an equation and estimate the height of the adult male you discovered on this dig.

Problem 4 The best temperature for running is below 60°. If a person ran optimally at 17.6 ft/sec, he or she would slow by about.3 ft/sec for every 5° increase in temperature above 60°. – Write a linear model for optimal running pace – Predict the optimal running pace for a temperature of 80°

Problem 5 You are moving to Houston, Texas and want to switch your cell phone company. Your new peak air time rate in Houston is.23 cents per minute. For 110 minutes your bill will be $ – Write an equation that will model your cost – How much will your bill be if you use 60 minutes of peak air time?

Problem 6 You are traveling home in a bus whose speed is 50mph. At noon you are 200 miles from home. – Write an equation that models your distance from home since noon.