Let's denote the number of miles driven as x.
For the first plan:
Cost = $44 + $0.11x
For the second plan:
Cost = $53 + $0.07x
To find when the two plans cost the same, we need to set the two equations equal to each other and solve for x:
$44 + $0.11x = $53 + $0.07x
$0.11x - $0.07x = $53 - $44
$0.04x = $9
x = $9 / $0.04
x = 225 miles
Therefore, the two plans cost the same when 225 miles are driven.
The cost at this point would be:
$44 + $0.11(225) = $44 + $24.75 = $68.75
$53 + $0.07(225) = $53 + $15.75 = $68.75
So, the cost when the two plans cost the same is $68.75.
Amanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $44 and costs an additional $0.11 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.07 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?
1 answer