Question

Stephen recently purchased a camper. The value of the camper after t years is given by the following expression.

22475(0.81)^t

Which of the following best describes the expression?

A.) the product of the initial value of the camper and its growth factor raised to the number of months since it was purchased

B.) the product of the initial value of the camper and its decay factor raised to the number of months since it was purchased

C.) the product of the initial value of the camper and its growth factor raised to the number of years since it was purchased

D.) the product of the initial value of the camper and its decay factor raised to the number of years since it was purchased

Answer 1

D.the product of the initial value of the camper and its decay factor raised to the number of years since it was purchased

Answer 2

The product of the initial value of the camper and its decay factor raised to the number of years since it was purchased as per exponential decay.

What is an exponential decay?

"The exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.

It can be expressed by the formula y = a(1 - b)ˣ

Where, y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed."

Here, the given expression for the value of the camper after t years is:

$y = 22475(0.81)^{t}$.

The value of the base is 0.81, which is less than 1.

Therefore, the expression represents exponential decay.

This indicates that, the initial price of the camper is 22475.

The rate of decay in every year is (1 - 0.81) = 0.19 = 19%.

The time period is t years.

Learn more about exponential decay here: https://brainly.com/question/10439681

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