Tyler has $42 to spend on art supplies. Colored pen sets cost $7 and notebooks cost $3.

Question

Tyler has $42 to spend on art supplies. Colored pen sets cost $7 and notebooks cost $3.

Let x
represent the number of colored pen sets.

Let y
represent the number of notebooks.

7x+3y≤42x≥0y≥0
This is the graph of the system of inequalities.

Answer 1

Here is the graph of the system of inequalities:

The line 7x + 3y = 42 is shown as a solid line, and the shaded region below the line represents the feasible region.

(Note: The graph is not displayed in the text-based interface, but you can visualize it by drawing a line with a slope of -7/3 passing through the point (0,14) and shading the region below the line.)