Answered

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Gabrielle needs to rent a car while on vacation. The rental company charges $19.95, plus 15 cents for each mile driven. If Gabrielle only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Round your answer down to the nearest mile.

Sagot :

The maximum number of miles that Gabrielle can drive is 134 miles.

What is the maximum number of miles she can drive?

The total miles she can drive is a function of the money she has, the cost per mile and the cost to rent the car.

The equation that can be used to show this relationship is :

Number of  miles = (amount she has - cost of renting) / cost per mile

($40 - $19.95) / 0.15 = 134 miles

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Answer:

  133 miles

Step-by-step explanation:

The limited budget gives rise to an inequality that can be solved for the maximum number of miles.

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setup

The rental cost for m miles will be the sum of the fixed charges and the product of the mileage charge and the number of miles.

  cost = 19.95 +0.15m

We want this to be no greater than 40, so we have the inequality ...

  40 ≥ 19.95 +0.15m

solution

This two-step inequality can be solved in the usual way:

  20.05 ≥ 0.15m . . . . . step 1, subtract 19.95 from both sides

  133.667 ≥ m . . . . . . . step 2, divide by the coefficient of the variable

The maximum whole number of miles Gabrielle can drive is 133.

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