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Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185 per week plus 25 cents per mile driven. Rental Giant charges a flat fee of $275 per week. What is the number of miles driven so that renting from Gentle Rental cost Carlos less than renting from Rental Giant?


A. Less than or equal to 360 miles

B. Less than 360 miles

C. Less than or equal to 115 miles

D. Less than 1,840

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boffeemadrid

Answer:

B. Less than 360 miles

Step-by-step explanation:

Let the number of miles driven be [tex]x[/tex]

The cost of renting from Gentle Rental per week is

[tex]185+0.25x[/tex]

The cost of renting from Rental Giant per week is [tex]275[/tex].

Now we have to find after how many miles the cost of renting from Gentle Rental cost Carlos less than renting from Rental Giant

[tex]185+0.25x<275\\\Rightarrow 0.25x<275-180\\\Rightarrow x<\dfrac{90}{0.25}\\\Rightarrow x<360[/tex]

So, the answer is less than 360 miles.

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