1/20 Exponential Functions Average Rate of Change-ACC

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

• -2

• 2

• 1/2

• -1/2

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

• 21

• -21

• 1/21

• -1/21

What is the average rate of change between x = 1 and x = 2?

• 9

• 10

• 11

• 12

If  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  , what is the average rate of change over the interval [-4,-2]?

• 6

• -6

• 12

• -12

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

What is the average rate of change of the graph over the interval [-2,0]?

• -3/2

• 2/3

• 3/2

• -2/3

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

Iris founded a new town, Iristown. The population of Iristown after x years can be modeled by the function p(x) = 1500(1.1)^x. On average, how fast is the population increasing between years 0 and 10?

• 212.12 people/year

• 251.11 people/year

• 239.06 people/year

• 391.29 people/year