Question

Ernest has been tracking the value of his car every year since he bought it.Year0123Car value ($) 30,000 27,000 24,300 21,870Complete the sentence.Ernest should usefunction ? (Exponential or linear) to model the value of his car because the ? Ratio or difference between successive car values is constant.

Answer 1

step 1

Verify if the function to model the value of the car is linear

Find out the difference between successive car values

27,000-30,000=-3,000

24,300-27,000=-2,700

21,870-24,300=-2,430

The value is not a constant

step 2

Verify if the function to model the value of the car is exponential

Find out the ratio between successive car values

27,000/30,000=0.9

24,300/27,000=0.9

21,870/24,300=0.9

The ratio is a constant value

so

The function is exponential

The answers are

exponential and ratio