Question

A rental car agency charges​ $240 per week plus​ $0.25 per mile to rent a car. The charge for a minivan is​ $180 per week plus​ $0.40 per mile. After how many miles is the total charge for each vehicle the​ same?


Please help me and thank you! :)

Answer 1

After how many miles is the total charge for each vehicle the​ same is 400 miles.

Let x represent the number of miles

Let Car cost =240+.25x

Let Van cost =180+.40x

Formulate the equation

$240 + $0.25x = $180 + $0.40x

Rearrange

60 = .15x

Divide both side by .15x

x=60/.15

x=400 miles

Inconclusion after how many miles is the total charge for each vehicle the​ same is 400 miles.

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