Question

You have decided to buy a new car, but you are concerned about the value of the car depreciating over time. You do some research on the model you are looking at and obtain the following information: Suggested retail price - $18,790 Depreciation per year - $1385 (It is assumed that this value is constant.) The following table represents the value of the car after n years of ownership.

Answer 1

Answer:

Option B After 14 years the car is worth $0

Step-by-step explanation:

we have

$V=-1,385n+18,790$

where

V is the value of the cars

n is the number of years

Determine the n-intercept of the graph

we know that

The n-intercept is the value of n (number of years) when the value of V (value of the car) is equal to 0

so

For V=0

substitute and solve for n

$0=-1,385n+18,790$

$1,385n=18,790$

$n=18,790/1,385$

$n=14\ years$

That means

After 14 years the car is worth $0