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.

The formula for the growth rate is given by

Now when b is greater than 1 , then it is increasing function

and when b is less than 1 , then it is decreasing function.

Now in the function

here value of b is 0.88 , which is less than 1 , so it is decreasing function

And decay rate is given by

1-r = 0.88

Subtract 1 from both sides

-r = 0.88-1

-r = -0.12

r = 0.12

or r= 12%

It means it is decreasing at a rate of 12%

Hence Option C is correct

C.The price of the boat decreases by 12% every year.

For this case we have an equation of the form:
  
 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:
 
 Where,
 
 We observe that the function decreases.
 The percentage of decrease is given by:
 
 
 C.The price of the boat decreases by 12% every year.

13 - 0.75w + 8x when w = 12 and x = 1/2 = 8

Step-by-step explanation:

As per the given equation that is thirteen minus zero point seven five 'w' plus eight 'x'. The given in the question is 'w' that is twelve and 'x' that is also twelve. Placing the values into the equation which is thirteen minus zero point seven five multiple by twelve plus eight multiple by twelve. Simplifying it further gives us the answer that is eight.

Numeric calculation is as following;

13 - 0.75w + 8x

if w = 12 and x = 1/2

13 - 0.75 (12) + 8 (1/2)

= 13 - 9 + 4 = 4 + 4

= 8