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You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.

Which system of inequalities, along with y ≥ 0 and x ≥ 0, would you use to solve the real-world problem?

You work as a cashier for a grocery store and earn 5 per hour You also mow lawns and earn 10 per hour You want to earn at least 50 per week but would like to w class=

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hoangkhangpham94

Answer:

Step-by-step explanation:

Denote x is the hour you work as a cashier per week; y is the hour you mow lawns per week.

You would like to work no more the 10 hours per week, meaning that : x + y <= 10 or y <= -x +10 (a);

You would like to earn at least $50 per week. As we have the total amount you earn per week would be 5x + 10y in which 5x is the amount you get paid as cashier and 10y is the amount you get paid as mowing lawn; we have the inequalities: 5x + 10y >= 50 <=> 10y>= -5x +50 <=> y>= -1/2 x +5 (b) ( as we divided both side of the inequalities by 10)

From (a) and (b) => the second inequalities shown in the picture is the right one

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