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.
No, Carl can't go by taxi, sadly, and because he is poor. How I know is by first, making an inequality to solve this problem. Let the variable x be the number of miles. The first inequality would be 0.50x+3<10. I you plug x for 15, the inequality would be ($0.50 * 15) + $3 < $10. We need a less than sign (<) because Carl says the price has to be under and not equal to. Then we have to simplify it by multiplying 0.50 by 15. When you do that, you will get $7.5. If you put that back to the inequality, then it would be $7.5 + $3 < $10. After you do simple math and add, you will know that Carl is short of money by 50 cents. This shows why Carl does not have enough money , and has to take the 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="">
