Use Mathematical Models Involving Linear Inequalities
-A volunteer wants to crochet beach hats and baby afghans for a church fund-raising bazaar. She needs 6 hours to make a hat and 5 hours to make an afghan and she has 30 hours available. Write an inequality that describes the situation and use the inequality to decide whether she can make 5 hats and 9 afghans in the time allowed. Let $x$ represent the number of hats and $y$ the number of afghans that she makes.
A) $6 x + 5 y \leq 30$; no
B) $6 x + 5 y \leq 30$; yes
C) $6 x + 5 y \geq 30 ; n o$
D) $6 x + 5 y \geq 30$; yes

Question

Quizplus · Accepted Answer

The correct inequality to represent the situation is $6x + 5y \leq 30$, as the volunteer has at most 30 hours available, and each hat (x) takes 6 hours while each afghan (y) takes 5 hours. Substituting $x = 5$ and $y = 9$ into the inequality gives $6(5) + 5(9) = 30 + 45 = 75$, which is not less than or equal to 30, so she cannot make 5 hats and 9 afghans in the time allowed.

Use Mathematical Models Involving Linear Inequalities -A Volunteer Wants to Crochet

Use Mathematical Models Involving Linear Inequalities
-A Volunteer Wants to Crochet