Answer:
where b is boxes, b ≤ 37.8125
Explanation:
In order to write an inequality for this situation, you must first identify the important information in the problem. The information that we need to write this inequality are:
Each box weighs 48 pounds
The mover weighs 185 pounds
the elevator can hold 2000 pounds at most
With this information, you know that the weight of the mover plus the weight of the boxes must be less than or equal to 2000 pounds. Now, you can write the inequality:
185 (weight of mover) + 48b (48 pounds per box) ≤ 2000 (2000 pound limit)
You can further simplify this inequality:
185 + 48b ≤ 2000 (given)
48b ≤ 1815 (subtract 185 from both sides)
b ≤ 37.8125 (divide both sides by 48)
The first inequality [185 + 48b ≤ 2000] was a representation of the situation, but since this problem asked for an inequality that will help the mover not overload the elevator, you can use the simplified one [b ≤ 37.8125]. You could also write it as b ≤ 37 because you can't have .8125 of a box.