Sarah makes $9 per hour working at a daycare center and $12 per hour working at a restaurant. Next

Discussion in 'Calculator Requests' started by math_celebrity, Feb 26, 2020.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Sarah makes $9 per hour working at a daycare center and $12 per hour working at a restaurant. Next week, Sarah is scheduled to work 8 hours at the daycare center. Which of the following inequalities represents the number of hours (h) that Sandra needs to work at the restaurant next week to earn at least $156 from these two jobs?

    Set up Sarah's earnings function E(h) where h is the hours Sarah must work at the restaurant:
    12h + 9(8) >= 156 <-- The phrase at least means greater than or equal to, so we set this up as an inequality. Also, the daycare earnings are $9 per hour * 8 hours

    Multiplying through and simplifying, we get:
    12h + 72 >= 156

    We type this inequality into the search engine, and we get:
    h>=7
     

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