Modeling Systems of Inequalities

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Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l + 2w ≤ 200. Which are possible dimensions for Mike’s backyard? Check all that apply.

• w = 50 ft; l = 10 ft

• w = 10 ft; l = 50 ft

• w = 20 ft; l = 60 ft

• w = 90 ft; l = 30 ft

• w = 50 ft; l = 40 ft

Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hours of the trip Erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality d < 70h. What are the possible hours and distances Erin could be driving?

When graphing this scenario, let h be the horizontal variable and d be the vertical variable.

For the inequality h ≥ 3, the graph should ____________ be the boundary line.

• Shaded Above

• Below

• To the right of

• To the left of

Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hours of the trip Erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality d < 70h. What are the possible hours and distances Erin could be driving?

When graphing this scenario, let h be the horizontal variable and d be the vertical variable.

For the inequality h≤ 6, the graph should ____________ be the boundary line.

• Shaded Above

• Below

• To the right of

• To the left of

Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hours of the trip Erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality d < 70h. What are the possible hours and distances Erin could be driving?

When graphing this scenario, let h be the horizontal variable and d be the vertical variable.

For the inequality d < 70h, the graph should ____________ be the boundary line.

• Shaded Above

• Below

• To the right of

• To the left of