Question

Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of (d1/15) of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, (s), Darcie can skip crocheting and still meet her goal. Graph the solution set to this inequality.

a) (s > 220)
b) (s < 220)
c) (s ≤ 220)
d) (s ≥ 220)

Answer 1

The inequality to determine the number of days Darcie can skip crocheting and still meet her goal is s < 220. She can skip a maximum of 1 day and still meet her goal of crocheting 333 blankets.

Step-by-step explanation:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal is s < 220.

Since she has 60 days to meet her goal of crocheting 333 blankets, she needs to crochet at least 333/60 = 5.55 blankets per day. Since she can only crochet in whole numbers, she needs to crochet at least 6 blankets per day.

Therefore, she can skip a maximum of 6 - 5 = 1 day and still meet her goal.

Graphically, the solution set to the inequality s < 220 would be all values less than 220 on a number line.