We are required to write an inequality to determine the number of days that Darcy can skip and still meet her goal.
Answer:
y [tex]\leq[/tex] 60 - 45
Step-by-step explanation:
Let us use "y" to denote that number of days that she can skip crotcheting and would still be able to meet her target of 3 blankets.
Recall that Darcy has the capacity to crotchet at a rate of 1/15 blanket each day. Since she crotchets at this rate, we can then calculate the amount of days it may take her to crotchet 3 complete blankets.
1/15 blanket ---------- 1 day
3 blankets ------------ ? days
= [tex]\frac{3}{\frac{1}{15} }[/tex] × 1
= [tex]\frac{3}{1}* \frac{15}{1} * \frac{1}{1}[/tex]
= 45 days.
Therefore, it will take her about 45 complete days to be able to crotchet three blankets if she crotchets at a rate of 1/15 blanket per day.
Now the inequality that we seek is then:
The number of days that she can skip crotcheting <= Total number of days available to her - The number of days she requires to get the job done.
Now, recall that the she has up to 60 days until the day that she plans to distribute the 3 blankets.
Fixing the information we have into the inequality, we have:
y [tex]\leq[/tex] 60 - 45
y [tex]\leq[/tex] 15
This actually implies that she can skip crotcheting blankets for up to 15 days or less than 15 days but not more than 15 days.
The inequality that determines the number of days that Darcy can skip and still meet her target is then:
y [tex]\leq[/tex] 60 - 45
