Anew car depreciates as soon as you drive it out of the parking lot. a certain car depreciates to half its original value in 4 years. if you bought a car 8 years ago and it is now worth $5000, how much did you pay for the car originally

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value =

So, value of car after depreciation in another 4 years = Half of the value after 4 years =

Therefore, final depreciated value after 8 years is .

But, as per question, final depreciated value is $5000. Thus,

Therefore, the original price of the car was $20,000.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are