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.

Respuesta :

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 :

[tex]y=C(1-\dfrac{D}{100})^t[/tex]

Putting all given values , we get :

[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]

Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .

Hence , this is the required solution .