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Question 277777: You want to rent a mid-size car economically. Avis offers a midsize car for $64.99 with unlimited mileage. Enterprise offers the same size car for $45.87 with 150 miles free, and $.25 a mile after 150 miles. It is clear that Enterprise is the better deal if the car is driven less than 150 miles. But what if you drive more than 150 miles? At what point will the Avis rental become the better deal?
I need to do this using linear equations in slope-intercept form. I know that the slope-intercept form is: y=mx+b. But I can't figure out how to plug the numbers from the word problem into that equation. I need to figure this out because there are other questions that follow this:
1. If A is the cost of renting at Avis, find the linear equation involving A and x. (my answer... A=1x + 64.99 but I am not sure that is right)
2. Let E be the cost of renting at Enterprise. Find the linear equation involving E and x, if x less than/equal to 150. Then, find a linear equation involving E and x if x >150. (my answers... E= 1x + 45.87 and
E=.25x +45.87
There are more questions involving graphing but I don't think I can do that until I know how to to the basics of the problem.
Thanks for any help you can give me!
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! when will enterprise equal avis
a=64.99
e=45.87+((x-150)*.25
if x>150
When x=226.48 avis = enterprise
check
45.87+76.48*.25=64.99
64.99-45.87=$19.12 difference excluding mileage
so when the mileage equals $19.12 they are even
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