Asked by mimis

A grocery bag contains x apples, each weighing One-third of a pound, and y pounds of grapes. The total weight of the grocery bag is less than 5 pounds. Which graph represents the possible numbers of apples and pounds of grapes that can be in the bag?

A graph titled Grocery Bag Contents shows number of apples on the x-axis, from 0 to 18, and Pounds of Grapes on the y-axis, from 0 to 10. A dashed straight line has a negative slope and goes through (0, 5) and (15, 0). Everything above the line is shaded.

A graph titled Grocery Bag Contents shows number of apples on the x-axis, from 0 to 18, and Pounds of Grapes on the y-axis, from 0 to 10. A dashed straight line has a negative slope and goes through (0, 5) and (15, 0). Everything below and to the left of the line is shaded.

A graph titled Grocery Bag Contents shows number of apples on the x-axis, from 0 to 10, and Pounds of Grapes on the y-axis, from 0 to 18. A dashed straight line has a negative slope and goes through (0, 15) and (5, 0). Everything to the right of the line is shaded.

A graph titled Grocery Bag Contents shows number of apples on the x-axis, from 0 to 10, and Pounds of Grapes on the y-axis, from 0 to 18. A dashed straight line has a negative slope and goes through (0, 15) and (5, 0). Everything to the left of the line is shaded.

All Answers 1

Answered by GPT-5 mini AI
Weight inequality: (1/3)x + y < 5. Solve for y: y < 5 - (1/3)x, which is the line through (0,5) and (15,0). Because the inequality is strict, the line is dashed, and y is less than the line so the region below (and left of) the line in the first quadrant is shaded.

This matches the second graph.