A ride sharing company charges a pick-up fee plus a charge per mile. Gus paid $12.00 for a 6.5-mile ride. Tony paid $15.50 for a

Question

3 years ago

5

9-mile ride. Determine the companies charge per mile for a ride.

1 answer:

Elden [556K] · Answer 1 · 2022-03-21T12:37:40+03:00

The company charges $1.40 per mile for a ride.

Step-by-step explanation:

Amount paid by Gus for 6.5 miles = $12.00

Amount paid by Tony for 9 mile = $15.50

Let,

x be the cost per mile.

y be the pick up fee.

According to given statement;

6.5x+y=12.00 Eqn 1

9x+y=15.50 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(9x+y)-(6.5x+y)=15.50-12.00\\9x+y-6.5x-y=3.50\\2.5x=3.50$

Dividing both sides by 2.5

$\frac{2.5x}{2.5}=\frac{3.50}{2.5}\\x=1.40$

The company charges $1.40 per mile for a ride.

Keywords: linear equation, elimination method

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