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? X, Y graph. X range is negative 300 to 300, and Y range is negative 300 to 300. Dashed line on graph has negative slope and runs through 0, 100 and 187.5, 0. Below line is shaded. X, Y graph. X range is negative 300 to 300, and Y range is negative 300 to 300. Solid line on graph has negative slope and runs through 0, 100 and 187.5, 0. Below line is shaded. X, Y graph. X range is negative 300 to 300, and Y range is negative 300 to 300. Solid line on graph has negative slope and runs through 0, 100 and 187.5, 0. Above line is shaded. X, Y graph. X range is negative 300 to 300, and Y range is negative 300 to 300. Dashed line on graph has negative slope and runs through 0, 100 and 187.5, 0. Above line is shaded.

Answer 1

Answer:

2nd graph

Step-by-step explanation:

You have the next restriction:

x*40 + y*75 <= 7500

where  

x: number of boxes that weigh 40

y: number of boxes that weigh 75

Every point below the line fulfill the equation, for example, x = 1 and y = 1 is in the shaded region because 40 + 75 is less than 7500. The difference between dashed and solid line is that in the first case the line is not included in the solution and in the second it is. In this case the line is solid because the restriction has a less or equal sign (<=), for example, point x = 0 and y = 100 is less or equal to 7500 and fulfill the equation.