Question

Sam needs to rent a car for a one-week trip to Oregon. He is considering two companies

Answer 1

At 900 miles, the cost for the two rentals will be same.

Step-by-step explanation:

Given,

A+ Auto rental: $175 plus $0.10 per mile

Let,

x be the number of miles.

y be the total distance.

y = 0.10x+175      Eqn 1

Zippy Auto rental: $220 plus $0.05 per mile

y = 0.05x+220    Eqn 2

When Eqn 1 = Eqn 2, the cost will be same

Therefore;

$0.10x+175=0.05+220\\0.10x-0.05x=220-175\\0.05x=45$

Dividing both sides by 0.05

$\frac{0.05x}{0.05}=\frac{45}{0.05}\\x=900$

At 900 miles, the cost for the two rentals will be same.

Keywords: linear equation, division

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