Exam 2: Rates of Change and Linear Functions

The function, , gives the speed (in miles per hour), s, of a car at time t minutes. Evaluate s(2).

Determine whether the following data is linear. If it is linear, find the function and write your answer in form. If the data is not linear, enter Not Linear.

The function, , gives the speed (in miles per hour), s, of a car at time t minutes. Find the speed (in miles per hour) of the car at time 3 minutes.

A worker in a fast food restaurant earns a daily gross pay of $72.00 for 8 hours of work. A) What is the pay rate, in dollars per hour? Round your answer to 2 decimal places. B) How much will the worker earn for 33 hours of work? C) How many hours will it take the worker to earn $5,500 in gross pay? Round your answer to the nearest hour. A) What is the pay rate, in dollars per hour? Round your answer to 2 decimal places. B) How much will the worker earn for 33 hours of work? C) How many hours will it take the worker to earn $5,500 in gross pay? Round your answer to the nearest hour.

Which choice best describes the graph pictured?

Determine whether the two lines are perpendicular. and

Find the slope of this linear function from the table.

A house that sold for $35,000 in 1980 sold for $60,500 in 2000. A) Find the average rate of change of the value of the house per year. B) If the house continues to increase in value at the same rate, what will be its value in 2016?

Which function pictured has the largest slope?

The function, , gives the speed (in miles per hour), s, of a car at time t minutes. What are the units of the 30 in the formula?

The table below is a data set corresponding to the times achieved every 10 meters by Carl Lewis in the 100 meter final of the World Championships in Rome in 1987. Find Carl Lewis's average speed (in meters per second) from the 30-meter mark to the 60-meter mark. Round your answer to 2 decimal places.

Which choice best describes the function, , whose graph is pictured?

Use the following to answer questions The following graph shows the percent of families in the U.S. living below the poverty level by year. -Which pair of points would be used to show the most rapid increase in the number of families living in poverty?

Use the following to answer questions The following graph shows the percent of families in the U.S. living below the poverty level by year. -Which pair of points would be used to show the most rapid decrease in the number of families living in poverty?

The following table gives the average daily intake of animal fats in grams per day and the age-adjusted death rate from breast cancer per 100,000 women. A) Use the regression capability of your calculator to find a formula for D as a function of F. B) Use the function to predict the death rate from breast cancer in Mexico where the average daily fat intake is F = 23 grams. C) Use the function to estimate the average daily fat intake in a country where there are 15 deaths from breast cancer for every 100,000 women.

The joint plates of a wooden truss require 1 nail for every 30 pounds of stress on the joint. How many pounds can a joint with 28 nails in the joint plate hold?

Assuming that the line through the given two points has the given slope m, find the value of t. (-6,-58) and (t,-88); m = 10

The table below gives a girl's height (in inches) as a function of the child's age. Use the data in the table and the average rates of change of height (in inches) to choose the best prediction for a girl's height (in inches) at age 10.

Suppose the slope of a line is -5 and the line goes through the point (-6, 25). Find the values of a, b, and c if points (-1,a), (0,b), and (-10,c) are on the line.

Construct an equation of the form y = b + mx, with slope = -6 and vertical intercept = 0.