Average Rate of Change

The table below gives the number of fish in a local koi pond each year.

What is the average rate of change from 2 to 5 years?

• 24 more fish each year

• 72 more fish each year

• 20.4 more fish each year

• 15 more fish each year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A water tank is losing water each minute and is represented by the function,

 $f\left(x\right)=600-15x$  , where f(x) is the number of gallons of water left in tank after x minutes.

What is the average rate of change from 3 to 6 minutes?

• -45 gallons per minute

• -85 gallons per minute

• -15 gallons per minute

• -90 gallons per minute

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Tracy walks from the mall toward her home. Her distance from home at different times is shown in table.

What is the average rate of change from 1:30 pm to 2:00 pm?

• -1/2 mile per hour

• -1 mile per hour

• -2 miles per hour

• -4 miles per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A car rental company charges an initial fee plus a constant fee per kilometer driven. The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).

What is the average rate of change between 110 km and 145 km?

• $0.60 per km

• $1.67 per km

• $21 per km

• $6 per km

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The graph shows the temperature of a substance that is set out to cool over time (in minutes).

What is the average rate of change between 20 and 25 minutes?

• -20°C per minute

• -15°C per minute

• -10°C per minute

• -50°C per minute

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The graph shows the temperature of a substance that is set out to cool over time (in minutes).

Cody believes that the temperature decreased more between 9 and 12 minutes than between 20 and 25 minutes. Is Cody correct or incorrect?

• Correct

• Incorrect, the average rate change decreased less between 9 and 12 minutes than between 20 and 25 minutes.

• Incorrect, the average rate of change is the same.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Hanna throws a ball off a bridge into a river below. The ball's height above the water in meters, h(t), after t seconds is given by the following function:

 $h\left(t\right)=-2t^2+34$  .
Determine the average rate of change between the first 4 seconds.

• -32 meters per second

• -8 meters per second

• -4 meters per second

• -10 meters per second

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The graph shows the number of computers that have been infected with a virus, c(d), d days after the computer virus was first reported.

What is the average rate of change between 3 and 5 days?

• 96 computers per day

• 64 computers per day

• 192 computers per day

• 32 computers per day

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6