Modeling with Systems of Linear Equations Answers

The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be?

R(x) = 3.00xR(x) = 5.50 + xR(x) = 5.50 – x✔ R(x) = 5.50x

The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold.

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Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.The system of equations models the total costs for each. x + y = 26 x – y = 12

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Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro’s paddling and let y be the speed of the river.

Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro’s paddling and let y be the speed of the river.

2.55.2✔ 5

(x)(y)x/y✔ x + yx – y

✔ 2.55.25

Aro can paddle at a speed of miles per hour.

The river’s speed is miles per hour.

Manuel and Ruben both have bank accounts. The table represents the balance, y, for each account after x weeks. Which system of equations represents the table?

Manuel and Ruben both have bank accounts. The system of equations models their balances after x weeks.y = 11.5x + 22y = –13x + 218