Rates of Change Linear and Exponential

Joseph planted a tree that was 4.5 feet tall. Five years later the tree measured 15.75 feet tall. If the growth of the tree is linear, what was the rate of growth of the tree?

• 2.25 feet per year

• 4.5 feet per year

• 5.625 feet per year

• 11.25 feet per year

Tags

CCSS.HSF-LE.A.1B

The table shows the average weight of a fish after several weeks.

What is the average rate of change in weight of the

fish from week 8 to week 12?

• 0.0265 ounce per week

• 0.0375 ounce per week

• 0.055 ounce per week

• 0.1125 ounce per week

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

• 70

• 7.5

• -0.5

• -2.5

Tags

CCSS.HSF-LE.A.1B

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

• 6

• -6

• 0

• Undefined

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The graph of a linear function is shown in the coordinate plane. What is the rate of change in y per unit change in x for this linear function?

• -5

• -2.5

• -2

• -0.4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which of the following are ways to find the rate of change?

• change in y over change in x

• rise over run

• subtract y coordinates over subtract x coordinates

• all of the above

Tags

A.FGR.2.2

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

Tags

A.FGR.2.2

Find the slope of the line.

• -2

• 2

• -1

• 1

Tags

A.FGR.2.2

At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?

• 10 feet per second

• 5 feet per second

• 2 feet per second

• 6 feet per second

Tags

A.FGR.2.2

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 

• 200

• 150

• 300

• 75

Tags

A.FGR.2.2