Question

Richard buys a new car for $28,000. The car depreciates in value by 9% each year. Write an expression model to represent this situation. Use the variable y to represent the value of the car after t years.

Answer 1

Given :

Worth of new car , C = $28000 .

Depreciates in value of car , D = 9 % .

To Find :

Use the variable y to represent the value of the car after t years.

Solution :

Depreciation formula is given by :

`y=C(1-(D)/(100))^t`

Putting all given values , we get :

`y=C(1-(D)/(100))^t\\\\y=28000* (1-(9)/(100))^t\\\\y=28000( (91)/(100))^t`

Therefore , the required equation is
`y=28000( (91)/(100))^t` .

Hence , this is the required solution .