Question

Lexie wants to earn at least $400 a week. She earns $10 an hour working at a grocery store and $8 an hour working at a restaurant.

Let x be the number of hours she spends working at the grocery store and let y be the number of hours she spends working at the restaurant. Write an inequality that models this situation.

Answer 1

10x + 8y ≥ 400

Explanation:

x equals the number of hours spent working at the grocery store

she earns $10 an hour thus we use 10x

y equals the number of hours she spends working at the restaurant.

she earns $8 an hour thus we use 8y

10x +8y represent the the money she makes in a week combined.

we use greater the "≥" sign because its an estimate of how much she makes. Lexie might have other sources of income. Finally $400 is about how much she makes from the two jobs a week.

Final answer 10x + 8y ≥ 400