Years, x Value of Car, f(x)
1 29, 750.00
2 25, 287.50
3 21, 494.38
4 18, 270.22
5 ?
A car decreases in value after a given number of years. The following function represents the value of the car in dollars with respect to its age, x, in years: f(x)=35,000(.85)^x
. Use the input-output table to determine the value of the car after 5 years. Round your answer to the nearest cent.
(1 point)
Rounded to the nearest cent, after 5 years, the value of the car will equal
$
thats wrong
subtract maybe
The value of the car after 5 years can be found by substituting x = 5 into the given function:
f(5) = 35,000(.85)^5
Calculating this expression will give us the value of the car after 5 years:
f(5) ≈ $12,938.39
Therefore, rounded to the nearest cent, the value of the car after 5 years will equal $12,938.39.
Apologies for the mistake. Let's calculate the correct value using the given function:
f(5) = 35,000(.85)^5
= 35,000(0.4437053125)
≈ $15,512.39
Therefore, rounded to the nearest cent, the value of the car after 5 years will equal $15,512.39.
Apologies for the confusion. Let's subtract the value after 5 years from the initial value of the car to find the decrease in value.
Initial value of the car: $29,750.00
Value after 5 years: $15,512.39
Decrease in value = Initial value - Value after 5 years
Decrease in value = $29,750.00 - $15,512.39
Decrease in value ≈ $14,237.61
Therefore, rounded to the nearest cent, the value of the car after 5 years will be approximately $14,237.61.
To determine the value of the car after 5 years, we need to evaluate the function f(x) = 35,000 * (0.85)^x at x = 5.
Plugging in x = 5 into the function, we have:
f(5) = 35,000 * (0.85)^5
Now, we can calculate the value of the car after 5 years.
f(5) = 35,000 * (0.85)^5 = 35,000 * 0.443705 = 15,520.92
Rounded to the nearest cent, the value of the car after 5 years is $15,520.92.