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Solve.

RENTAL CARS On vacation, Jamal wanted to rent a car. There was a base cost of $50 with an additional cost of $0.15 per mile. Jamal wanted to keep the cost of the car under $100. Write and solve an inequality to find m, the number of miles Jamal can drive. Graph the solution.

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UnderstandRead the problem. Write what you know.

The cost of renting a car was $50

plus $0.15 per mile.

Jamal wants to keep the cost under

$100.

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Plan Pick a strategy. One strategy to use is to draw a diagram for an equation.

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Solve Each side of the model is not equal in value, so it is an inequality. Write the inequality. Jamal wants to spend less than $100 so you would use the sign, <.

Write and solve the inequality.

50 + 0.15m < 100

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Graph the inequality. Use a open circle because 333 is not a solution. Shade to the left of 333, because the inequality uses less than.

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Check Substitute any number less than 333 for m to check.