Solving a linear equation we can see that for 7.5 miles, both services charge the same amount.
For how many miles both delivery services would charge the same amount?
For food drivers, there is a fixed cost of $4 plus $0.25 per mile, so if you drive x miles the cost is:
f(x) = $4 + $0.25*x
For totally takeout, the fixed cost is $3.25 and they chare $0.35 per mile, so the cost equation is:
g(x) = $3.25 + $0.35*x
Both services charge the same if:
g(x) = f(x)
So we need to solve the linear equation:
$4 + $0.25*x = $3.25 + $0.35*x
$4 - $3.25 = $0.35*x - $0.25*x
$0.75 = $0.10*x
$0.75/$0.10 = x = 7.5
So, for 7.5 miles, both services charge the same amount.
if you want to learn more about linear equations:
https://brainly.com/question/1884491
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