Question

Darcie wants to crochet a minimum of blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 (0.2) 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.

Answer 1

Darcie can crochet 1/15 of a blanket per day, and she has 60 days to crochet. We denote the number of days she can skip as S. The inequality to represent the situation is 1/15 * (60 - S) >= 4, which simplifies to S <= 60, meaning Darcie can skip anywhere from 0 to 60 days.

Step-by-step explanation:

The student is asking for assistance in writing an inequality to represent a situation involving crocheting blankets over a certain number of days. Darcie can crochet 1/15 of a blanket per day and has 60 days in total. However, she wants to skip some days while still achieving her goal. Let us denote the number of days she can skip as S. The total number of blankets she can crochet if she doesn't skip any days would be 60 (days) times 1/15 (blankets per day) which equals 4 blankets.

An inequality representing the number of days Darcie can skip and still meet her goal of crocheting at least 4 blankets would be 1/15 * (60 - S) ≥ 4. To solve for S, we rearrange the inequality:

60 - S ≥ 4 * 15

60 - S ≥ 60

-S ≥ 0

S ≤ 60

Since S represents the number of days Darcie can skip, it cannot be negative, therefore S must be in the range of 0 to 60 days.