Question

a new car that costs $22575 depreciates at a rate of 11% per year. The car's value can be modeled by the equation V(x)=22,575(0.89)x. evaluate the function over the domain (2,5,7) and interpet the results

Answer 1

Answer: The values of the function V(x) over the domain (2, 5, 7) are 17881.66, 12,606.01 and 9985.224.

Step-by-step explanation:

The cost of car is $22575 and the value of car depreciate at a rate of 11% per year.

The value of car can be modeled by the equation,

`V(x)=22,575(0.89)^x`

Where is number of years after purchase of car or the age of car. We have to find the value of the function over the domain (2,5,7), so put x=2,

`V(x)=22,575(0.89)^2=17881.66`

It means the value of car will be $17881.66 after two years.

put x=5,

`V(x)=22,575(0.89)^5=12,606.01`

It means the value of car will be $12,606.01 after five years.

put x=7,

`V(x)=22,575(0.89)^7=9985.224`

It means the value of car will be $9985.224 after seven years.