Alfonso makes $8.00 per hour working at a movie theater and $12.00 per hour working at a restaurant. Next week, Alfonso is scheduled to work 6 hours at the movie theater. Which of the following inequalities represent the amount of hours (h) that Alfonso needs to work at the restaurant next week to earn at least $144 between his two jobs?

Question

Mathematics

Barrera

22 April, 05:39

Alfonso makes $8.00 per hour working at a movie theater and $12.00 per hour working at a restaurant. Next week, Alfonso is scheduled to work 6 hours at the movie theater. Which of the following inequalities represent the amount of hours (h) that Alfonso needs to work at the restaurant next week to earn at least $144 between his two jobs?

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Maddison · Answer 1

First is solve the amount of money alfonso earned in working at the movie theater and let it be x

x = ($ 8 per hour) (6 hours)

x = $ 48

then let A be his total earning in working both at the movie theater and restaurant, and t be the time he needs to work at the restaurant

A > = 48 + 12t

144 > = 48 + 12t

144 - 48> = 12t

96 > = 12t

8 > = t

t = < 8 hours