Average Rate of Change

The table below shows y as a function of x. Which of the following is the average rate of change of the function from x = 2 to x = 6?

• $\frac{13}{6}$

• $\frac{1}{2}$

• $\frac{2}{5}$

• $\frac{20}{9}$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Given the function defined by y  x2 , which of the following is its average rate of change from x2 to x10?

• 
  

  $\frac{5}{2}$
  

• 2

• $\frac{8}{3}$

• 12

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the outputs for the following inputs.
where x = 0 , y =    ?

• y = 0

• y = 6

• y = 8

• y = 10

Tags

CCSS.HSF.IF.A.2

Find the outputs for the following inputs.
where x = 6 , y =    ?

• y = 0

• y = 2

• y = 5

• y = 10

Tags

CCSS.HSF-IF.C.7A

A semi-truck is being loaded with boxes of varying weights. The total weight of boxes loaded is shown below as a function of the number of boxes loaded into the truck. Find the average rate of change from 5 boxes to 11 boxes.

• 4.5 pounds per box

• 9 pounds per box

• 27 pounds per box

• 6 pounds per box

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A semi-truck is being loaded with boxes of varying weights. The total weight of boxes loaded is shown below as a function of the number of boxes loaded into the truck. Find the average rate of change from 11 boxes to 20 boxes.

• 9 pounds per box

• 54 pounds per box

• 24 pounds per box

• 6 pounds per box

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A hot liquid was placed in a freezer and its temperature was recorded. The data for the first 8 minutes is shown below.What is the average rate the temperature is changing from 2 minutes to 8 minutes? Use proper units.

• 55 degrees per minute

• -27.5 degrees per minute

• -72 degrees per minute

• -12 degrees per minute

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Given the function y = 4x + 3 do the following. Find its average rate of change from x = 2 to x = 5

• 4

• 3

• 12

• 6

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6