Question

A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship? 40x + 657 $ 2.400 rty < 45 C) | 40r + 657 $ 45 | x + y < 2.400 B) [xu y < 2.100 40x + 657 $ 2.400 xl y < 1

Answer 1

Let:

x = number of 40-pound boxes

y = number of 65-pound boxes

The forklift can carry up to either 45 boxes

This means:

`x+y\leq45`

The forklift can carry up a weight of 2,400 pounds:

This means:

`40x+65y\leq2400`