SOLUTION: Donna is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A has no initial fee but charges $.80 for eve

Question 907247: Donna is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A has no initial fee but charges $.80 for every mile driven.
Company B charges an initial fee of $50 and an additional $.50 for every mile driven.
For what milleage will Company A charge more than Company B?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Company A - 0 + .8x (where x is miles driven)
Company B - 50 + .5x
To find when they are equal, set them against each other and solve for x.
.8x = 50 + .5x
Subtract .5x from each side
.3x = 50
Divide each side by .3
x = 166
If you drive 166 miles or less, Company A is the better deal
If you drive 167 miles or more, Company B is the better deal

With 166 miles, Company A charges .8 * 166 or $132.80 while Company B will charge 50 + (166*.5), or $133
With 167 miles, Company A charges $133.60 while Company B charges $133.50
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