Linear Functions and Rates of Change

The ratio of the change in y to the change of x represents ____.

(Select all that apply.)

• functions

• rate of change

• slope

• initial value

What is the rate of change?

• y

• m

• x

• b

Compare the rates of change.

• The rate of change of item I is greater than the rate of change of item II.

• The rate of change of item I is equal to the rate of change of item II.

• The rate of change of item II is greater than the rate of change of item I.

Which of the following statements correctly describes the item shown above?

• The items have different rates of change, and item I is steeper.

• The items have different rates of change, but have the same steepness.

• The items have different rates of change, and item II is steeper.

• The items have the same rate of change.

What is the rate of changed of the graphed linear function?

Mathematical Equivalence

ON

What is the rate of change of the linear function?

​ (a)   per hour worked

• $8.75

• $9.25

• $10.00

• $20.00

What is the rate of change of the piggy bank balance with respect to the number of movie tickets purchased? ONLY TYPE IN THE INTEGER.

Mathematical Equivalence

ON

What is the rate of change of function h?

Mathematical Equivalence

ON

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.

Which linear function has the greatest slope?

• A

• B

• C

• D