Exponential Functions Average Rate of Change

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

• -2

• 2

• 1/2

• -1/2

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

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

• 21

• -21

• 1/21

• -1/21

An initial investment of $1000 reaches a value, V(t), according to the model V(t) = 1000(1.01)^(4t), where t is the time in years. Determine the average rate of change, to the nearest dollar per year, of this investment from year 2 to year 7.

Evaluate responses using AI:

OFF

Find the average rate of change for the interval [0, 3] for the function given below.

f(x) = 3^{x + 7} + 10

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON