MATH SOLVE

4 months ago

Q:
# The following function represents the value of a car, in dollars, after x years:f(x) = 24,000(0.92)power of xWhat does 0.92 represent?A.The present value of the carB.The value of the car after x yearsC.The decrease in the value of the car, which is 92%D.The decrease in the value of the car, which is 8%β

Accepted Solution

A:

Answer:Option D.The decrease in the value of the car, which is 8%Step-by-step explanation:we have a exponential function of the form[tex]f(x)=a(b)^{x}[/tex]wherey is the value of the carx is the time in yearsa is the initial valueb is the baser is the rate of decreaseb=1+rIn this problem we havea=$24,000 initial value of the carb=0.92so0.92=1+rr=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease