Question
At a local market, the cost of apples is directly proportional to the weight of the apples. Carlos bought
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
Answers
GPT-4o mini
To determine which graph shows the relationship between the weight of apples and the cost, we need to consider the principle of direct proportionality. In this case, if Carlos bought \( x \) pounds of apples for a cost of \( y \) dollars, we can express this relationship mathematically as:
\[ y = kx \]
where \( k \) is the constant of proportionality, which represents the cost per pound of apples.
This relationship should create a straight line graph that passes through the origin (0,0) because:
- If \( x = 0 \) (no apples), then \( y = 0 \) (no cost).
- As \( x \) increases, \( y \) will also increase linearly.
Here are the key characteristics of the graph we are looking for:
1. The graph should be a straight line.
2. The line should pass through the origin (0,0).
3. The slope of the line should be positive, indicating that as weight increases, the cost also increases.
Given this information, you can evaluate the options A, B, C, and D and select the one that meets these criteria. If you can provide more details or a visual description of the graphs, I'll be able to help you identify the correct one!
\[ y = kx \]
where \( k \) is the constant of proportionality, which represents the cost per pound of apples.
This relationship should create a straight line graph that passes through the origin (0,0) because:
- If \( x = 0 \) (no apples), then \( y = 0 \) (no cost).
- As \( x \) increases, \( y \) will also increase linearly.
Here are the key characteristics of the graph we are looking for:
1. The graph should be a straight line.
2. The line should pass through the origin (0,0).
3. The slope of the line should be positive, indicating that as weight increases, the cost also increases.
Given this information, you can evaluate the options A, B, C, and D and select the one that meets these criteria. If you can provide more details or a visual description of the graphs, I'll be able to help you identify the correct one!