Question

Keith has 40-pound bags of mulch in his truck that weigh a total of 3600 pounds. His owner's manual lists the truck's capacity as at most 3000 pounds.

Write an inequality that can be used to determine how many bags Keith will have to remove to meet the weight requirements.

a) 40x≤3000
b) 40x>3000
c) 40x≥3000
d) 40x<3000

Answer 1

The inequality that can be used is 40x ≤ 3000. The total weight of the bags must be less than or equal to 3000 pounds.

Step-by-step explanation:

The inequality that can be used to determine how many bags Keith will have to remove to meet the weight requirements is 40x ≤ 3000.

This means that the total weight of the bags, which is 40 pounds multiplied by the number of bags (represented by 'x'), must be less than or equal to 3000 pounds.

To solve for 'x', divide both sides of the inequality by 40: x ≤ 75.