Bryan purchases a new boat. The expression below represents the value of the boat after x years. 22000(.88)^(x+2) Which statement is true?A.The price of the boat decreases by 88% every year.B.The price of the boat increases by 88% every year.C.The price of the boat decreases by 12% every year.D.The price of the boat increases by 12% every year.
Question
Answer:
For this case we have an equation of the form:[tex]y = A * (b) ^ x [/tex]
Where,
A: initial price
b: rate of change
x: time
When 0 <b <1, then the function decreases.
For this case we have the following function:
[tex]y = 22000 (.88) ^ (x + 2) [/tex]
Where,
[tex]b = 0.88 [/tex]
We observe that the function decreases.
The percentage of decrease is given by:
[tex](1-0.88) * 100 = 12 [/tex]
Answer:
C.The price of the boat decreases by 12% every year.
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