SOLUTION: Ivan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges an initial fee of $40 and an additi
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Question 697408: Ivan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges an initial fee of $40 and an additional .80 cents for every mile driven.
Company B charges an initial fee of $53 and an additional .60 cents for every mile driven.
For what mileages will Company A charge less than Company B? Write your answer as an inequality, using m for the number of miles driven.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
First, I'll find the milage for which both
companies charge the same
Let = the charge for the day
given:
Company A:
(1)
Company B:
(2)
-------------------
Making the charges equal:
-----------
So, for 65 miles driven, the charge is the same
for both companies
I want to know if A charges less than B with
more miles driven or less miles driven.
What If I say ?
Company A:
(1)
(1)
(1)
(1)
Company B:
(2)
(2)
(2)
(2)
You can see that for slightly more than 65 miles driven,
B charges less than A. That means less than 65 miles
must be driven for A to charge less than B.
answer
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