Using a linear function, it is found that he drove the truck for 240 miles.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Researching the problem on the internet, there was a base fee of $18.99, which is the y-intercept, and there was an additional charge of 75 cents for each mile driven, which is the slope, hence the cost function for m miles driven is given by:
C(m) = 18.99 + 0.75m.
He paid $199, hence the number of miles he drove is found as follows:
C(m) = 18.99 + 0.75m.
199 = 18.99 + 0.75m
m = (199 - 18.99)/0.75
m = 240 miles.
More can be learned about linear functions at brainly.com/question/24808124
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