Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. It takes him 12 hours to knit a hat and 6 hours to knit a scarf; he has 20 hours to knit. Let x represent the number of hats made. Let y represent the number of scarves made. Which inequalities are among the constraints for this situation?

Select each correct answer.

y≤8y≤8

5x+8y≤205x+8y≤20

12x+6y≤2012x+6y≤20

x+y≤20x+y≤20

x≤5

Question

Mathematics

Dawson Morrison

18 August, 21:14

Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. It takes him 12 hours to knit a hat and 6 hours to knit a scarf; he has 20 hours to knit. Let x represent the number of hats made. Let y represent the number of scarves made. Which inequalities are among the constraints for this situation?

Select each correct answer.

y≤8y≤8

5x+8y≤205x+8y≤20

12x+6y≤2012x+6y≤20

x+y≤20x+y≤20

x≤5

+1

Answers (1)

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Kendall Petty · Answer 1

You have two restrictions. A restriction of hours, and a quantity restriction. Let's call:x represent the number of hats made. y represent the number of scarves made. For the restriction of hours we have that the inequality is:12x + 6y≤20For the restriction of quantity the inequalities are:y≤8x≤5Therefore, the restrictions that best represent the problem are: 12x + 6y≤20y≤8x≤5