SOLUTION: -Tessa has an antique plate valued at $75. It is expected to increase in value 8% per year. a.) how would you write a function for the value of the plate in t years? b.) how woul

Question 179674: -Tessa has an antique plate valued at $75. It is expected to increase in value 8% per year.
a.) how would you write a function for the value of the plate in t years?
b.) how would you find out how much it would be worth in 10 years?
c.) how would you find out when the plate would reach a value of $200?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
-Tessa has an antique plate valued at $75. It is expected to increase in value 8% per year.
a.) how would you write a function for the value of the plate in t years?

:
:
b.) how would you find out how much it would be worth in 10 years?

:
Use a calc to find 1.08^10
f(t) = 75*2.158925
f(t) = $161.92 value after 10 yrs
:
;
c.) how would you find out when the plate would reach a value of $200?
f(t) =
:
Substitute 200 for f(t)
= 200
;
Divide both sides by 75
=
=
:
use the log equiv of exponent
=
find the log of both sides
.03342t = .42597
;
t =
t = 12.74 years to become valued at $200
;
Check solution on a calc; enter: 75*(1.08)^12.74 = 199.93 ~ 200, close enough
:
Any questions about this?

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