Question 104274
Now this problem is easier than it looks.  I can already guess where your mistakes are.  REMEMBER:  John and Sherry are renting for 1 week.


Let's start with AVIS.  Since there are no mileage fees, this means that the price John and Sherry will pay will be equal to 7 days of the $28 fee.
7x28=196.  
That's pretty expensive.


AVIS:  $196 per week




TOYOTA:  108 plus .14 for every mile driven?
We can write an equation:


Cost = 108 + 0.14(m)         where m is the number of miles driven



So the two companies will be the same price when?

When AVIS's cost is equal to TOYOTA's cost!


196 = 108 + 0.14(m)
-108  -108
88 = 0.14m


SO m = 88/0.14 or 628.57 miles.  



Ok, great.  What does that mean?  It means that Toyota's cost keeps getting more expensive while AVIS is always at $198.  It means that at 628 miles, Toyota is still cheaper.  But at 629 miles, Avis has magically become the cheaper deal.


Now, let me guess your mistake:  did you write your equation for Toyota without the decimal point? (108 + 14m)  Don't forget that we don't mean 14 dollars every mile!!!!  You meant to put .14 dollars per mile.