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? then solve the inequality.

Answer 1

Let's assume that the total time to make all the crochet pieces is T.
Since it takes 15 minutes to make one crochet piece, the total time can be represented as 15 minutes multiplied by the number of crochet pieces made, which is 400.
Thus, T = 15 * 400.

To represent the time constraint as an inequality, we need to determine if the total time (T) is less than or equal to the given time constraint (200 hours). First, we need to convert 200 hours into minutes since we are considering minutes in this case.

There are 60 minutes in an hour, so:
200 hours * 60 minutes/hour = 12000 minutes.

Thus, the inequality representing the time constraint is:
T ≤ 12000.

Now, let's solve this inequality:
15 * 400 ≤ 12000
6000 ≤ 12000

Since 6000 is indeed less than or equal to 12000, the inequality is satisfied. Therefore, you have enough time to make all the crochet pieces within the given time constraint.