Practice Comparing Functions

What type of function best represents the following scenario: a football is kicked from the 10 yard line and lands 25 feet away.

• exponential

• quadratic

• linear

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Which runner had a head start?

• A

• B

• C

Which statement is true?

• The slope of Function A is the same as the slope of Function B.

• The slope of Function A is negative and the slope of Function B is positive.

• The slope of Function A and Function B are both positive.

• The slope of Function A and Function B are both negative.

Which of the following functions could represent Function A?

• y = 0.5x - 1.5

• y = 2x + 2.5

• y = 3x + 1.5

• y = 2.5x - 2.5

Choose all that apply. Hit Submit.

• The y-intercept of Function A is greater than the y-intercept of Function B.

• The y-intercept of Function A is less than the y-intercept of Function B.

• The y-intercept of Function A is equal to the y-intercept of Function B.

• The rate of change of Function A is greater than the rate of change of Function B.

• The rate of change of Function A is less than the rate of change of Function B.

Which function has the greater rate of change?

• Function A

• Function B

Which function has the greater y-intercept?

• Function A

• Function B

Angela and Ben each hire a different plumber. Angela's plumber bill is represented by the function y=0.15x+49, where x represents the minutes worked and y represents the total cost. The cost of Ben's plumber for various amounts of time is shown in the graph. Who paid more money up front for the plumber, before anything was fixed? How much more was the starting cost for that plumber?

• Angela

• Ben

• $15 more

• $13 more

• $11 more

A tiger in captivity is fed 14 pounds of food each day. The graph shows the pounds of food an elephant in captivity eats per day. Compare the functions by comparing their rates of change.

• The tiger eats 14 pounds less food per day.

• The elephant eats 125 pounds more food every day.

• The elephant eats 139 total pounds of food every day.

• The elephant eats 111 more pounds of food every day.