Question

a moving company charges $50 plus $0.25 per mile to rent a van. Another company charges $25 plus $0.35 per mile to rent the same van. For what number of miles will the rental cost be the same for both companies?

Answer 1

For 250 miles, the rental cost will be same for both companies.

Step-by-step explanation:

Given,

Rent charged = $50

Per mile rent = $0.25

Let,

x be the number of miles.

A(x) = 0.25x+50

Rent charged by other company = $25

Per mile rent = $0.35

B(x) = 0.35x+25

For the total cost to be same;

A(x) = B(x)

$0.25x+50=0.35x+25\\50-25=0.35x-0.25x\\25=0.10x\\0.10x=25$

Dividing both sides by 0.10

$\frac{0.10x}{0.10}=\frac{25}{0.10}\\x=250$

For 250 miles, the rental cost will be same for both companies.

Keywords: function, division

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