Answer:
The maximum number of pounds of grapes you can buy is 9 pounds.
Step-by-step explanation:
You can buy maximum number of pounds of grapes when you have not bought any oranges, i.e when [tex]x=0.[/tex]
This is the y-intercept of the graph of [tex]1.5x+2y=18[/tex] and looking at the graph we see that the y-intercept is 9.
Thus the maximum number of pounds of grapes you can buy is 9 pounds.