Cherries cost $4/lb. Grapes cost $1.50/lb. You can spend no more than $9 on fruit, and you need at least 4 lb in all. Create a graph showing the amount of each fruit you can buy.

Answer 1

To create a graph showing the amount of cherries and grapes you can buy, we will consider the following constraints: cherries cost $4/lb and grapes cost $1.50/lb, the total cost should be no more than $9, and the total weight must be at least 4 lb.

Let's start by listing the possible amounts of cherries and grapes that satisfy the constraints:

1 lb of cherries ($4/lb) + 3 lb of grapes ($1.50/lb) = $4 + $4.50 = $8.50
2 lb of cherries ($8/lb) + 2 lb of grapes ($3) = $16 + $3 = $19
3 lb of cherries ($12/lb) + 1 lb of grapes ($1.50) = $12 + $1.50 = $13.50
4 lb of cherries ($16) + 0 lb of grapes = $16

Now, let's plot this information on a graph:

```
| X
$20 -------------------------------------------------------
| X
| X
$15 -------------------------------------------------------
| X
$10 -------------------------------------------------------
| X
$5 -------------------------------------------------------
| X
| X X
$0 -------------------------------------------------------
0 1 2 3 4 5
Lbs of Fruit
```

In the graph, the y-axis represents the total cost of cherries and grapes, and the x-axis represents the amount of fruit in pounds. The X's represent the points where the total cost is at or below $9, and the total weight is at least 4 lb.

As shown in the graph, you can buy 1 lb of cherries and 3 lb of grapes, or 2 lb of cherries and 2 lb of grapes for a total cost of $8.50 and $19, respectively, meeting the constraints specified.