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
[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 2.50
[tex]\frac{2.50x}{2.50}=\frac{3.50}{2.50}\\x=1.40[/tex]
The company charges $1.40 per mile.
Keywords: distance, linear equation
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