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
[tex](9x+y)-(6.5x+y)=15.50-12.00\\9x+y-6.5x-y=3.50\\2.5x=3.50[/tex]
Dividing both sides by 2.5
[tex]\frac{2.5x}{2.5}=\frac{3.50}{2.5}\\x=1.40[/tex]
The company charges $1.40 per mile for a ride.
Keywords: linear equation, elimination method
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