A car rental company offers two plans for renting a car.
Plan A: 20 dollars per day and 8 cents per mile

Plan B: 50 dollars per day with free unlimited mileage

How many miles would you need to drive for plan B to save you money? Show work details.

Respuesta :

Answer:

More than 375 miles.

Step-by-step explanation:

Let x represent number of miles.

We have been given that according to plan A, the company charges 20 dollars per day and 8 cents per mile.

The cost of driving a car for x miles would be [tex]0.08x[/tex].

The total cost of driving a car for x miles would be [tex]0.08x+20[/tex].

To find the number of miles, we can represent our given information in an inequality, where cost of plan A is greater than plan B as:

[tex]0.08x+20>50[/tex]

[tex]0.08x+20-20>50-20[/tex]

[tex]0.08x>30[/tex]

[tex]\frac{0.08x}{0.08}>\frac{30}{0.08}[/tex]

[tex]x>375[/tex]

Therefore, we should drive more than 375 miles for plan B to save us money.

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