The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x
2 answers:
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
where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%
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