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3 years ago

The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x

Mathematics

2 answers:

Semenov [28]3 years ago

7 0

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

$f(x)= ab^x$

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%

horsena [70]3 years ago

4 0

Answer:

the correct answer is C.

Step-by-step explanation:

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Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

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