# A car rents for $25 per day, plus $0.20 per mile. What mileages, x, will allow the total budget to stay under $75 for a two-day car rental? Give your answer as an inequality.

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### 2 Answers

The rental without mileage for two days is equal to

`(25$/(day))(2 days)=$50`

The total cost of the rental including mileage is:

`$50+$0.20x`

Needs to be under $75. Expressed as an inequality:

`50+0.20x<75`

Subtract 50 to each side.

`0.20x<25`

Divide both sides by 0.20.

`x<25/0.2`

`x<125`

**Any mileage below 125 miles will allow the budget to stay under $75.** **The inequality is x<125.**

The car rents for $25 per day, plus $0.20 per mile. The total budget for a two day car rental is $75. Of this $25*2 = $50 is given as a fixed fee. This leaves $75 - $50 = $25.

As for each mile the car is driven $0.2 has to be paid, the number of miles the person renting the car can drive it for is less than or equal to 25/0.2 = 125 miles.