The value of a boat, in dollars, x years from its model year can be predicted by the function f (x) = 14,000 (0.88) x.

The value of a certain yacht, in dollars, x years from its model year can be predicted by the exponential function shown in the table.

How much more will the boat be worth than the yacht 5 years after their model years?

Enter your answer, rounded to the nearest cent,

x g (x)

0 18,000

1 14,580

2 11,809.80

3 9565.94

4 7748.41

5 6276.21

1112.04 Using the function f (x) = 14000*0.88^x for x = 5, we get f (x) = 14000*0.88^x f (5) = 14000*0.88^5 f (5) = 14000*0.527731917 f (5) = 7388.246835 f (5) = 7388.25 Which indicates that the boat will be worth $7388.25 after 5 years. Using the lookup table for the yacht, the yacht will be worth $6276.21 after the same 5 years. Subtracting this value from the value of the boat: $7388.25 - $6276.21 = $1112.04 Tells us that the boat is worth $1112.04 more than the yacht after 5 years.