Question

Which situation can best be modeled with an exponential function? A.The value of a car depreciating 6% each year. B.The cost to purchase different weights of bananas at a store. C.The total number of miles run by a person who runs 8 miles per day. D.The amount of money a salesperson makes if they make a salary plus 3% commission on total sales for the week.

Answer 1

A.The value of a car depreciating 6% each year.

Explanation:

According to definitions.net "The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change in the dependent variable."

Given that the car depereciate by 6% each year, I can write;

Let the initial value of the car be P

Let the value of the car at time t be Y

Let the number of years be t

This is a case of exponential decay so;

Y = P( 1 - 6/100)^t