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A student has started a lawn care business
in the summer. He charges $21 per hour
to mow lawns and $17 per hour for
gardening. Because he has other
obligations, he can only work for at most
16 hours per week. His goal is to make at
least $275 per week.
Write a system of linear inequalities to
model this situation. Use M for hours
spent mowing lawns and G for hours
spent gardening


Sagot :

Step-by-step explanation:

$21=per hour mowling

$17=per hour gardening

only work 16 hours per week

Goals =$275 per week

$275÷16 hours=$17.1875(Each hour in a week)

mow lawns= $17.1875 ×$12=$206.25(for 16 hours)

gardening=$17.1875 ×$17=$292.1875(for 16 hours)

mowling lawns=$275÷$21=13.0952380952(13 hours,12 minutes and 30 seconds)

Gardening =$275÷$17= $16.1764705882 (970 hours,9 minutes,80 seconds)

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