Middle School

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

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

Answer :

Answer:

Inequality representing the situation is [tex]\frac{1}{15}(60-s)\geq 3[/tex] i.e. [tex]s\leq 15[/tex].

Step-by-step explanation:

Let the number of days = s

Since, she has to work for 60 days and skipped for s days.

The number of days she worked = 60 - s

As, she worked at a rate of [tex]\frac{1}{15}[/tex] part of a blanket.

So, she worked at [tex]\frac{1}{15}(60-s)[/tex] days in total.

Since, she has to make minimum of 3 blankets, we get the inequality,

[tex]\frac{1}{15}(60-s)\geq 3[/tex]

i.e. [tex](60-s)\geq 3\times 15[/tex]

i.e. [tex](60-s)\geq 45[/tex]

i.e. [tex]-s\geq 45-60[/tex]

i.e. [tex]-s\geq -15[/tex]

i.e. [tex]s\leq 15[/tex]

So, she can skip the days less than 15 and still meet her goal.

Hence, the inequality representing the situation is [tex]\frac{1}{15}(60-s)\geq 3[/tex] i.e. [tex]s\leq 15[/tex].

The solution plotted is given below.