Question

A $7,000 motorcycle depreciates at 10% each year. Which value would represent the base of the exponential function that models this situation?

Answer 1

@study100

Answer 2

you know the equation for exponential decay?

Answer 3

y=a x b^x

Answer 4

I use to be able to do this I just forgot.

Answer 5

Yes, since we're talking about rates, use this equation
y= a(1-r) ^x
were a= starting amount
r= rate (percent) in decimals
x= time

Answer 6

y= 7000(1-0.1)^x
then you can simplify to get the equation

Answer 7

Now would time be 365 due to the year?

Answer 8

365 days in 1 day. They don't decrease by days, but years.

Your time is n years. they didn't tell us the years though. Just asking for the equation.

Answer 9

and the base value.

Answer 10

the base of this exponential function is 1-r

so the base is 1-0.1 = 0.9

Answer 11

the whole equation is
y= 7000(0.9)^x

Answer 12

OHHH okay

Answer 13

Thank you

Answer 14

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