Rate of Change Exponential Functions

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

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

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

• A/F
• B/G
• C/H
• D/J

Tags

CCSS.HSF.LE.B.5

The number of grams, y, of a radioactive element that remains after t hours can be modeled by the equation y=2.45(0.84)^t. What is the rate of increase or decrease of this radioactive element?

• 16% increase per hour

• 84% increase per hour

• 84% decrease per hour

• 16% decrease per hour

Tags

CCSS.HSF-IF.C.8B

An exponential function has a __________ rate of change

Tags

CCSS.HSF-IF.C.8B

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

Tags

CCSS.HSF.LE.B.5

What is the average rate of change of y = 2(3)^x at [2, 4]?

• 72

• 3

• 36.8

• 630

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6