Answer:
a) What is the value of the car when it was new?
The value of the car when it was new can be found by setting x = 0 in the function f(x) = 42000 + 5x/2 + 0.5x.a
So, f(0) = 42000 + 5(0)/2 + 0.5(0) = 42000
The value of the car when it was new is $42,000.
b) What is the value of the car after 5 years?
To find the value of the car after 5 years, we set x = 5 in the function f(x) = 42000 + 5x/2 + 0.5x.
So, f(5) = 42000 + 5(5)/2 + 0.5(5) = 42000 + 25 + 2.5 = 42027.5
The value of the car after 5 years is $42,027.5.
c) What is the scrap value of the car (the least value the car can have)?
The scrap value of the car can be found by setting x = 10 (the maximum value of x) in the function f(x) = 42000 + 5x/2 + 0.5x.
So, f(10) = 42000 + 5(10)/2 + 0.5(10) = 42000 + 50 + 5 = 42055
The scrap value of the car is $42,055.
Explanation: