At a local market, the cost of apples is directly proportional to the weight of the apples. Carlos bought

Question

pounds of apples for a cost of
. Which graph shows the relationship between the weight of the apples, in pounds, and the cost of the apples, in dollars?
A

B

C

D

Answer 1

To determine which graph shows the relationship between the weight of the apples and the cost, we need to understand that if the cost is directly proportional to the weight, the relationship can be described by the formula:

\[ \text{Cost} = k \cdot \text{Weight} \]

where \(k\) is the constant of proportionality.

Given any weight \(w\) and its corresponding cost \(c\), you can calculate the constant \(k\) using:

\[ k = \frac{c}{w} \]

This means that as you increase the weight of apples, the cost will increase linearly if the relationship is directly proportional.

To find the appropriate graph:

1. Look for a linear graph which starts at the origin (0,0). This indicates that if you buy zero apples, the cost is zero.
2. The slope of the line should be constant, reflecting the direct proportionality.
3. If you have specific values for weight and cost, make sure the graph passes through that point.

Without seeing the specific graphs A, B, C, and D, you'd want to identify which has these characteristics. If you provide the specific values, I can help you determine which graph best represents the relationship.