SOLUTION: Keisha will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.16 per mile driven. The second

Question 976015: Keisha will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of
$40
and costs an additional
$0.16
per mile driven. The second plan has an initial fee of
$49
and costs an additional
$0.11
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?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Set up two formulae:
For Keisha 1st Plan:
$40 + n(0.16) [n = no. of miles driven.]
For Keisha's 2nd Plan:
$49 + n(0.11)
Make them equal one another:
$40 + n(0.16) = 49 + n(0.11)
Collect like terms:
n(0.16) - n(0.11) = 49 - 40
n(0.05) = 9
n = 9/0.05
n = 180
Therefore 180 has to be driven
before the plans cost the same.
The cost is $68.80
Hope this helps:-)
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