Answer:
The answer is A. [tex]f(x)=20,000*(0.85)^x[/tex]
Step-by-step explanation:
The base price of the car is $20,000. Then, every year, the value of the car depreciates by 15%, that it means, every year the value of the car is 85% than the value of the previous year.
If we repeat the process, for example in 4 years, the value of the car will be:
20,000*0.85*0.85*0.85*0.85
You have to consider the value of the previous year to applicate the 85%.
So, the correct function to represent the car's value is:
[tex]f(x)=20,000*(0.85)^x[/tex]
I have attached an image that shows a graph of the correct function.
