Solving a linear equation, the number of miles m for which the delivery services would charge the same amount = 7.5 miles
For given question,
For food drivers, there is a fixed cost of $4 plus $0.25 per mile, so if you drive m miles the cost equation is:
f(x) = $4 + ($0.25)m
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)m
Both services charge the same if:
g(x) = f(x)
So we need to solve the linear equation:
⇒ 4 + 0.25m = 3.25 + 0.35m
⇒ 4 - 3.25 = 0.35m - 0.25m
⇒ 0.75 = 0.10m
⇒ 0.75 / 0.10 = m
⇒ m = 7.5
So, for 7.5 miles, both services charge the same amount.
Therefore, the number of miles m for which the delivery services would charge the same amount = 7.5 miles
Learn more about linear equation here:
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