Question

A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds. How many of each kind of box can he haul in one load?

If x represents the number of 40-pound boxes and y represents the number of 75-pound boxes, which graph correctly shows the solution to the problem?

Answer 1

x represents the number of 40-pound boxes
y represents the number of 75-pound boxes
$$
40x+75y <= 7,500
$$
Because the load with both types of boxes needs to be less than 7,500 pounds

When x=0,
$$
y<=\cfrac{7500}{75}=100
$$
When y=0,
$$
x<=\cfrac{7500}{40}=\cfrac{750}{4}=187.5
$$
So which graph has y <100 and x<187.5?

Answer 2

Correction,

The question I should have asked you was:

"So which graph has y \(\color{red}{\le}\) 100 and x \(\color{red}{\le}\) 187.5?"

Answer 3

its b@ybarrap