Question

The cost of a car rental is ​$30per day plus per mile. You are on a daily budget of ​$75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

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Answer 1

Explanation:

Cost ≤ per day amount + daily mileage amount. * miles

75 ≥ 30 + daily mileage amount * miles

That's as far as I can take you. Two other equations are impossible without the daily mileage amount.

I can make one up. Suppose it is 75 cents a mile

75 ≥ 30 + 0.75 * x Subtract 30 from both sides

75 - 30 ≥ 0.75*x

40 ≥ 0.75*x Divide by 0.75

40/0.75 ≥ x

53.33 miles = x

Anything more and you are going over budget. Anything less is fine.

This is enough to get you started without knowing what the rate per mile is.