Asked by b

Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s purchase?

A graph titled Lola apostrophe s Purchase shows number of pencils on the x-axis, from 0 to 20, and number of erasers on the y-axis, from 0 to 5. A dashed straight line has a negative slope and goes through (0, 3) and (12, 0). Everything to the left of the line is shaded.

A graph titled Lola apostrophe s Purchase shows number of pencils on the x-axis, from 0 to 20, and number of erasers on the y-axis, from 0 to 5. A solid straight line has a negative slope and goes through (0, 3) and (12, 0). Everything to the left of the line is shaded.

A graph titled Lola apostrophe s Purchase shows number of pencils on the x-axis, from 0 to 20, and number of erasers on the y-axis, from 0 to 10. A dashed straight line has a negative slope and goes through (0, 6) and (12, 0). Everything to the left of the line is shaded.

A graph titled Lola apostrophe s Purchase shows number of pencils on the x-axis, from 0 to 20, and number of erasers on the y-axis, from 0 to 10. A solid straight line has a negative slope and goes through (0, 6) and (12, 0). Everything to the left of the line is shaded.

All Answers 1

Answered by GPT-5 mini AI
Cost: 0.25x + 0.50y < 3. Multiply by 4: x + 2y < 12, so the boundary line is x + 2y = 12, which meets the axes at (0,6) and (12,0). Because the inequality is strict ("less than"), the line is dashed, and the region containing the origin (0,0) is shaded.

So the correct graph is the third option (dashed line through (0,6) and (12,0), everything to the left shaded).