Cherries costs $2/lb. Grapes cost $0.50/lbs. You can spend no more than $3 on fruit, and you need at least 2 lb in all. Create a graph.

Question

Need a graph with shaded sections as well.

Answer 1

It isn't clear what you are asking for here, but here goes.

 

Let x = the number of pounds of cherries purchased and y = the number of pounds of grapes purchased.

 

The first two sentences yield the inequalities:

 

2x + .5y ≤ 3 and

x + y ≥ 2.

 

You also must have x ≥ 0 and y ≥ 0, in order for this to make sense.

 

When you graph these four inequalities, you will obtain a region in the first quadrant. I will let you try to find it by graphing the first two inequalities and determining the shaded region.

 

If you need more help after this, please post a reply and I may offer more assistance.