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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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...

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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.

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