Sandra bought a boat for $28,800. According to her insurance company the value of the boat depreciates 7% each year. What will the value of the boat be x years after she purchased it?

We have been given that Sandra bought a boat for $28,800. According to her insurance company the value of the boat depreciates 7% each year. We are asked to find the value of the boat x years after Sandra purchased it.

We will use exponential decay formula to solve our given problem.

An exponential decay function is in form , where,

y = Final amount,

a = Initial amount,

r = Decay rate in decimal form,

x = Time.

Let us convert 7% into decimal form.

Initial value of car is $28,800, so our function will be:

Therefore, the value of boat after x years would be .

8121 because

130,000 divided by 16 is 8121

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.