Question

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

Answer 1

Inequality representing the situation is
`(1)/(15)(60-s)\geq 3` i.e.
`s\leq 15`.

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
`(1)/(15)` part of a blanket.

So, she worked at
`(1)/(15)(60-s)` days in total.

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

`(1)/(15)(60-s)\geq 3`

i.e.
`(60-s)\geq 3* 15`

i.e.
`(60-s)\geq 45`

i.e.
`-s\geq 45-60`

i.e.
`-s\geq -15`

i.e.
`s\leq 15`

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

Hence, the inequality representing the situation is
`(1)/(15)(60-s)\geq 3` i.e.
`s\leq 15`.

The solution plotted is given below.