Exponential Functions - Average ROC

What is the average rate of change between when x = -1 and x = 0?

• -2

• 2

• 1/2

• -1/2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the average rate of change over the interval [0,3]?

• 21

• -21

• 1/21

• -1/21

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

If  $g\left(x\right)=3\left(2\right)^x$  , what is the average rate of change over the interval  $1\le x\le5$  ? 

• 22.5

• 90

• 30.25

• 25

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

James bought a car worth $22,000 that loses 10% of its value every year. The value of the car after x years can be modeled by the function f(x) = 22,000(.9)^x.

What is the average rate of change between 0 and 4 years?

• $-1,100/year

• $-1521.12/year

• $-1,776/year

• $-1,891.45/year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 0 to day 5.

• $\frac{1283-2000}{5\ -\ 0}=-143.4$

• $\frac{2000-1283}{5\ -\ 0}=\ 143.4$

• $\frac{5-0}{1283-2000}=-0.007$

• $\frac{5-0}{2000-1283}=0.007$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Interpret average rate of change from day 0 to day 5.

• The store lost 143.3 popular trading cards each day.

• The store gained 143.3 popular trading cards each day.
  

• The store lost 143.3 popular trading cards each year.
  

• The store lost 0.007 popular trading cards each day.
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 5 to day 15.

•  $\frac{1283-528}{15\ -\ 5}=75.5$ 

•  $\frac{528-1283}{15\ -\ 5}=\ -75.5$ 

•  $\frac{15-5}{1283-528}=0.013$ 

•  $\frac{15-5}{528-1283}=-0.013$ 

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Interpret average rate of change from day 5 to day 15.

• The store lost 75.5 popular trading cards each day.

• The store gained 75.5 popular trading cards each day.
  

• The store lost 75.5 popular trading cards each year.
  

• The store lost 0.013 popular trading cards each day.
  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 15 to day 20.

• -38 decks per day

• 38 decks per day

• -0.03 decks per day

• 0.03 decks per day

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 5 to day 20.

• -63 decks per day

• -73 decks per day

• -83 decks per day

• -53 decks per day

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6