Question

It takes Lacey 3 hours to knit a stocking cap and 5 hours to knit a pair of mittens. She has at most 20 hours of spare time in a week and knits at least one pair of mittens each week. Let x stand for the number of stocking caps and let y stand for the number of pairs of mittens. Write a system of linear inequalities that models the number of stocking caps and pairs of mittens that Lacey can knit in a week. Graph the solution.

A. 5x+3y≤1x≤1

B. 3x+5y≤20y≥1

C. 3x+5y≥20y≥1

D. 3x+5y≤20x≥1

Answer 1

B. 3x+5y≤20y≥1

Explanation:

3 hours for a cap

x = cap

5 hours mittens

y = mittens

this is the amount of time

3x+5y <=20

she must do a pair of mittens

y>=1