Question

s on a Graph
The graph shows the relationship between pounds of grapes, g, and their cost, c.

A graph on a coordinate plane shows cost of grapes on the horizontal axis (c), numbered 2 to 6, and pounds of grapes on the vertical axis (g), numbered 1 to 4. Solid circles are at points (0, 0), (2, 1), (4, 2), (6, 3), and are connected by a solid line.

Use the graph to complete the statements.

For every dollar you spend, you can get
pounds of grapes.

For each pound of grapes, you would need $
.

Answer 1

To determine the values needed, let's analyze the points provided on the graph.

1. The pairs of values given are:
- (2, 1): For $2, you get 1 pound of grapes
- (4, 2): For $4, you get 2 pounds of grapes
- (6, 3): For $6, you get 3 pounds of grapes

From this data, we can derive the following:

**For every dollar you spend, you can get pounds of grapes:**
- From the first data point (2,1), if you spend $2, you get 1 pound of grapes. This indicates that for $1, you get \( \frac{1 \text{ lb}}{2 \text{ dollars}} = 0.5 \text{ lb} \).
- Similarly, from the other points, for $4 (2 pounds) and $6 (3 pounds), you can calculate:
- For $4, \( \frac{2 \text{ lb}}{4 \text{ dollars}} = 0.5 \text{ lb} \)
- For $6, \( \frac{3 \text{ lb}}{6 \text{ dollars}} = 0.5 \text{ lb} \)

Thus, **for every dollar you spend, you can get 0.5 pounds of grapes**.

**For each pound of grapes, you would need $:**
- The inverse of the previous calculation tells us how much you need to spend for one pound of grapes.
- In order to find this, you can take the cost for 1 pound of grapes based on the first data point:
- For 1 pound, you need $2. Therefore, for every pound you would need $2.

So, to summarize:

1. For every dollar you spend, you can get **0.5 pounds of grapes**.
2. For each pound of grapes, you would need **$2**.