Linear Programming — Test Answers

Which graph shows the solution to the system of linear inequalities?x – 4y < 4y < x + 1

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys. r + f ≥ 164r + 2f ≤ 40

Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?

Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown. w ≥ 102l + 2w ≤ 150

Which graph shows the solution to the system of linear inequalities?y ≥ 2x + 1y ≤ 2x – 2

Which ordered pair makes both inequalities true?y > –2x + 3y < x – 2

Which graph shows the solution to the system of linear inequalities?

Review the graph.

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Which ordered pair makes both inequalities true? y x

Which ordered pair makes both inequalities true?y > –3x + 3y > 2x – 2

An arrangement for one container needs to have at least 4 flowers in it and the total wholesale cost must be less than $12. At wholesale, lilies cost $2 per flower and roses cost $3 per flower. If x is the number of lilies and y is the number of roses, which graph represents the system of inequalities for this scenario?