Ataxi 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.

Let the variable x be the number of miles. Then the problem can be modeled with the inequality 0.5x + 3 < 10,="" in="" which="">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 < 14.="" carl="" can="" travel="" less="" than="" 14="" miles,="" but="" he="" lives="" 15="" miles="" away,="" so="" he="" will="" take="" a="" bus,="" not="" the="">

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