Darcie wants to crochet a minimum…

Maths Questions

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. She crochets at a rate of ( frac{1}{15} ) of a blanket per day and has 60 days until the donation. However, Darcie plans to skip some days to volunteer in other ways. Write an inequality to determine the number of days, ( s ), that Darcie can skip crocheting while still meeting her goal. Additionally, graph the solution set for this inequality.

Answer

(60-s)(1/15) ‚â• 3. Explanation: Darcie has 60 days and can crochet on (60 – s) days, producing (60 – s)(1/15) blankets. To ensure she meets her goal of at least 3 blankets, we set up the inequality (60 – s)/15 ‚â• 3. Solving this gives us the condition s ‚⧠15. This means she can skip a maximum of 15 days, and the solution is represented in the graph below. Note that while negative values for s technically satisfy the inequality, they aren’t practical for this scenario.

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