The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x What does 0.91 represent? A.The present value of the motorcycle B.The value of the motorcycle after x years C.The decrease in the value of the motorcycle, which is 9% D.The decrease in the value of the motorcycle, which is 91%

Answer:Option C.The decrease in the value of the motorcycle, which is 9%Step-by-step explanation:we have a exponential function of the form[tex]f(x)= ab^x[/tex]wherea is the initial valueb represents growth or decay factorIf b >1 then it is an exponential growthif 0<b<1 then it is an exponential decayIn this problema=$19,000b=0.91 -----> it is exponential decay factorFind the rate of decrease rb=(1-r)substitute0.91=1-rr=1-0.91=0.09Convert to percentage0.09*100=9%therefore0.91 represent the decrease in the value of the motorcycle, which is 9%