Compare Rate of Change Linear Functions

What type of slope is shown on this graph?

Tags

CCSS.8.EE.B.5

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?

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

(Select all that apply.)

• functions

• rate of change

• slope

• initial value

Tags

CCSS.HSF-LE.A.1B

• y

• m

• x

• b

Tags

CCSS.HSF-LE.A.1B

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

• 2

• -2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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.