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

2 years ago

14

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

1 answer:

Luba_88 [7] · Answer 1 · 2023-12-21T09:15:33+03:00

The company charges $1.40 per mile.

Step-by-step explanation:

Given,

Cost of 6.5 miles ride = $12.00

Cost of 9 mile ride = $15.50

Let,

x be the cost per mile.

y be the pick up fee.

Total cost = Cost per mile*distance + pick up fee

According to 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 2.50

$\frac{2.50x}{2.50}=\frac{3.50}{2.50}\\x=1.40$

The company charges $1.40 per mile.

Keywords: distance, linear equation

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