<span>The integer -1 has an absolute value of 1, which is greater than itself. Since all negative integers are by definition integers, their respective absolute values will be greater than themselves.</span>
Answer
The function represents the car’s value after x years.
f(x) = 20,000(0.85)x
Reason
As given
Terrence buys a new car for $20,000.
The value of the car depreciates by 15% each year.
15 % is written in the decimal form

= 0.15
Thus
The decrease in the value of car is represented by = a (1 - r)× t
Where a is the original cost
r is the depreciates rate in decimal form
t is time in years.
Here a = $20000 ,r = 0.15 , t = x years
The value of car after x years = 20,000 (1 -0.15)x
= 20000(0.85)x
Therefore the the value of the car after x years is represented by f(x) = 20,000(0.85)x .
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.