Compare Rate of Change Linear Functions

What type of slope is shown on this graph?

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Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits. y = 3x + 10 What does the y-intercept (b) of the graph of this equation represent?

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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.

Compare the initial values and rate of change of both functions.

• Both functions have the same initial value and rate of change.

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

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

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

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.

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.

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

(Select all that apply.)

• functions

• rate of change

• slope

• initial value

• y

• m

• x

• b

Find the rate of change of the line that passes through points (0, 2) and (2, 6).

• 2

• -2

Determine if the following functions are increasing or decreasing.

• Both functions are decreasing.

• The function in item I is increasing, and the function in item II is decreasing.

• The function in item I is decreasing, and the function in item II is increasing.

• Both functions are increasing.