Compare Rate of Change and Initial Value

Determine whether the following functions are increasing or decreasing.

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

• Both functions are increasing.

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

• Both functions are decreasing.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Which linear function has the greatest slope?

• A

• B

• C

• D

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.8.F.B.4

CCSS.HSF.LE.A.2

Compare the initial values of the functions.

• Both functions have the same initial value.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change for each? Who has the greater rate of change?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which company shows a greater rate of change?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which panda is growing faster?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9