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December 13th, 2013, 07:31 AM   #1
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Easy Analytical Geometry

A car rental firm has the following charges for a certain type of car: $25 per day with 100
free miles included, $0.15 per mile for more than 100 miles.

Suppose you want to rent a car for one day, and you know you’ll use it for more than 100 miles.
What is the equation relating the cost y to the number of miles x that you drive the car?

For the life of me I can't understand how to get the formula in the back of the book. I am not in school currently, but I am reviewing my Calculus in preperation for Cal II.

The formula they give as an answer is:
y = 0.15x + 10

I don't understand where the 10 comes from and how they incorporate the $25 charge. Please break this down for me, I'm sure I'm just over complicating it.
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December 13th, 2013, 08:52 AM   #2
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Re: Easy Analytical Geometry

I would begin with:



Now distribute the 0.15:



Combine terms and arrange in slope-intercept form:

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December 13th, 2013, 09:24 AM   #3
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Re: Easy Analytical Geometry

Wow. You've definitely cleared that up for me. I should have put in a little more effort on this one.
I really appreciate it, Mark.
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