SOLUTION: A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles
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Question 152283: A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
;
Let x = no. of miles for this to be true
;
Write an equation for each rental company
:
Cost1 = .11x + 19
and
Cost2 = .05x + 25
;
Find out when they are equal: Cost1 = Cost2
.11x + 19 = .05x + 25
.11x - .05x = 25 - 19
.06x = 6
x =
x = 100 miles
:
:
We can confirm this is true, find the actual cost for each:
.11(100) + 19 = $30
.05(100) + 25 = $30
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