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The total amount to rent a taxi for one day from Taxi X consists of a
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31 Oct 2023, 00:44
31 Oct 2023, 00:44
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The total amount to rent a taxi for one day from Taxi X consists of a fixed amount of $10 and a amount of $0.25 per mile driven. The total amount to rent a taxi for one day from Taxi Y consists of a fixed amount of $20 and a amount of $0.10 per mile driven. The total amount torent a taxi from Taxi Y for one day and drive it for m miles is less than $25.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Total amount to rent a taxi from Taxi X for one day and drive it for m miles |
$ 22.5 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: The total amount to rent a taxi for one day from Taxi X consists of a
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02 Dec 2023, 08:34
02 Dec 2023, 08:34
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We can interpret the costs for each taxi into these equations:
Let x = cost of renting Taxi X per day driving m miles, y = cost of renting Taxi X per day driving m miles.
\(x = 10 + 0.25m\)
\(y = 20 + 0.10m\)
Given that \(y(m) < 25\), we can set up this inequality:
\(20 + 0.10m < 25
m < 50\)
Plug m = 50 back into Taxi X's equation:
\(x(50) = 10 + 0.25(50) = 22.5\)
However since we know that m is LESS than 50, the total amount will be LESS than 22.5.
You could double check by using any value of m less than 50, e.g., 40:
\(x(40) = 10 + 0.25(40) = 20 < 22.5\)
Let x = cost of renting Taxi X per day driving m miles, y = cost of renting Taxi X per day driving m miles.
\(x = 10 + 0.25m\)
\(y = 20 + 0.10m\)
Given that \(y(m) < 25\), we can set up this inequality:
\(20 + 0.10m < 25
m < 50\)
Plug m = 50 back into Taxi X's equation:
\(x(50) = 10 + 0.25(50) = 22.5\)
However since we know that m is LESS than 50, the total amount will be LESS than 22.5.
You could double check by using any value of m less than 50, e.g., 40:
\(x(40) = 10 + 0.25(40) = 20 < 22.5\)
gmatclubot
Re: The total amount to rent a taxi for one day from Taxi X consists of a [#permalink]
02 Dec 2023, 08:34
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