Q:

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.

Accepted Solution

A:
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.