A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $10, otherwise he will take a bus. Carl is 15 miles from home. Explain how to write and solve an inequality to determine if Carl will take the taxi or a bus.

Question

Mathematics

Spencer Marsh

19 November, 21:29

A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $10, otherwise he will take a bus. Carl is 15 miles from home. Explain how to write and solve an inequality to determine if Carl will take the taxi or a bus.

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Answers (2)

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Darien Watts · Answer 1

Let the variable x be the number of miles. Then the problem can be modeled with the inequality 0.5x + 3 x is the number of miles. To solve, first subtract 3 from each side, then divide each side by 0.5. The solution is x

Jackson Greene · Answer 2

3+.5x<10

3+.5*15<10

3+7.5<10

10.5<10

It is not true so he would take the bus