Answer:
the boat is estimated to be worth 1,112.04 dollars more than the yacht would be in 5 years
Explanation:
Given,
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
Step 1:
To determine the value of boat in 5 years, we substitute x for 5 in the function states above
f(5)=14,000(0.88)^5
f(5)=14,000(0.527731916)
f(5)= 7388.25
Thus,
the estimated value of the boat in 5 years = $7,388.25
Step 2:
From the table, x=5 gives a value of g(x) = 6,276.21
The figure for x = 5 from table for the yacht is yacht in 5 years
The value of yacht in 5 years = $6,276.21
Step 3:
Determine the difference between the estimated value of the boat in 5 years = $7,388.25 and the value of yacht in 5 years = $6,276.21
$7388.25 - $6276.21
= $1112.04
Therefore, the boat will be worth an estimated value if 1,112.04 more than the given yacht value in 5 years.