i have 200 hours to make my crochet pieces. i need to make 400 crochet pieces and it takes me 15 minutes to make one crochet piece. what would the inequality that represents my time constraint (using hours)? then solve the inequality.

Answer 1

The inequality that represents the time constraint can be expressed as:

200 hours ≥ (400 crochet pieces) * (15 minutes / 60 minutes)

First, let's convert the time unit of 15 minutes to hours:

15 minutes = 15/60 = 0.25 hours

Substituting this into the inequality, we have:

200 hours ≥ (400 crochet pieces) * 0.25 hours

Next, we can simplify the inequality:

200 hours ≥ 100 crochet pieces

Finally, let's solve the inequality:

Divide both sides of the inequality by 100:

200 hours / 100 ≥ 100 crochet pieces / 100

This simplifies to:

2 hours ≥ 1 crochet piece

Therefore, with 200 hours available, you will satisfy the time constraint by making at least one crochet piece.