Question

You have $18 to spend on oranges and grapes. Graph the equation 1.5x+2y=18, where x is the number of pounds of oranges and y is the number of pounds of grapes. Then find the maximum number of pounds of grapes you can buy.

Answer 1

The maximum number of pounds of grapes you can buy is 9 pounds.

Explanation:

You can buy maximum number of pounds of grapes when you have not bought any oranges, i.e when
`x=0.`

This is the y-intercept of the graph of
`1.5x+2y=18` 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.