Question

Stephen recently purchased a camper. The value of the camper after t years is given by the following expression.22,475(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 years since it was purchased
B the product of the initial value of the camper and its decay factor raised to the number of years since it was purchased
C the product of the initial value of the camper and its decay factor raised to the number of months since it was purchased
D the product of the initial value of the camper and its growth factor raised to the number of months since it was purchased 

Answer 1

For this case we have a function of the form:

`y = A * (b) ^ t`
Where,
A: initial amount
b: rate of change
t: time in years.
When b> 1 the function grows.
When b <1 the function decreases.
For this case we have the following function:

`22,475 (0.81) ^ t`
We observed that:

`b = 0.81 (b \ \textless \ 1)`
Therefore, the function decreases with the number of years.
Answer:
B the product of the initial value of the camper and its decay factor raised to the number of years since it was purchased