Ivan will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee, but costs $0.90 per mil e driven. The second plan has an initial fee of $75 and costs an additional $0.70 per mile driven. How many miles would Ivan need to drive for the two plans to cost the same?
1 answer:
Answer:
$337.50
Step-by-step explanation:
The computation of the number of miles need to drive for determining the same cost is given below:
Let us assume the miles be x
So for the first plan, the equation is
= $0.90x
And for the second plan, the equation is
= $75 + $0.70x
Now equate this
0.90x = $75 + 0.70x
0.90x - 0.70x = $75
0.20x = $75
x = $75 ÷ 0.20
= 375 miles
Now the same cost would be
For plan A and plan B
0.90x = $75 + 0.70x
0.90(375) = $75 + 0.70(375)
$337.5 = $75 + $262.50
$337.50 = $337.50
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