Question

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 ​ 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.

Answer 1

9514 1404 393

Answer:

• (60-s)(1/15) ≥ 3
• see below for a graph

Step-by-step explanation:

The number of days Darcie can crochet are 60-s, so the number of blankets she can make is (60-s)(1/15). She wants that number to be no less than 3, so her inequality is ...

  (60 -s)/15 ≥ 3

The solution set for this is all numbers less than or equal to 15.

  60 -s ≥ 45 . . . . . multiply by 15

  60 -45 ≥ s . . . . . add s-45

  s ≤ 15 . . . . . . . . . simplify

This solution set is graphed below. Please note that negative values of s will satisfy the inequality, but make no sense in the context of the problem.

Answer 2

1st Question:

Write an inequality to determine the number of days, $s$, Darcie can skip crocheting and still meet her goal:

Answer:

$s\leq 15$

2nd Question:

Graph the solution set to this inequality:

Answer:

The graph must show a filled dot on the number 15, and the arrow facing towards the 10 NOT the bigger numbers