Question

An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.

21.2 + w less-than-or-equal-to 30

How much weight can Lorrie add to the carry-on without going over the 30-pound limit?

Answer 1

Answer: No more than 8.8 pounds.

Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.

We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:

Let us solve for x by subtracting 21.2 from both sides of our inequality.

We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.