Rates of Change in Functions

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.

Rate of change is also known as ...

• initial value

• slope

• algebra

• y-intercept

Which linear function has the greatest slope?

• A

• B

• C

• D

Which functions have a rate of change that is greater than the function shown in the graph? Select ALL that apply.

Function A is represented by the equation y = 4x - 2. Function B is represented by the table.

Which of these functions has the greater rate of change?

• Function A. It's rate of change is -2.

• Function A. It's rate of change is 4.

• Function B. It's rate of change is 2.

• Function B. It's rate of change is 6.

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

Which function has a greater rate of change than the function A in the table?

Function A is represented by the equation: 4x-4y=-16 Function B is represented by the table. Who has the smallest rate of change

• Function A

  4

• Function B

  9

• Function A

  1

• Function B

  2

• They have the same rate of change

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image. Which coordinator charges the greatest fee per guest?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

Who weighed more at the beginning of the show?

• Valerie

• Oscar

• Mrs. Conte

• They weighed the same