Decide which graph shows a proportional relationship 1 point
b
a
d
c
The correct answer is b.
To determine which graph shows a proportional relationship, we need to analyze the graphs and compare how the variables on the x-axis and y-axis change in relation to each other.
In a proportional relationship, when one variable increases, the other variable also increases at a constant rate. This means that the ratio of the y-values to the x-values remains the same throughout the graph.
Let's examine each graph and determine if it shows a proportional relationship:
a) In graph a, as the x-values increase, the y-values do not increase at a constant rate. This means that it does not follow a proportional relationship.
b) Graph b shows a straight line that passes through the origin (0,0). This indicates that as the x-values increase, the y-values also increase at a constant rate. Therefore, graph b represents a proportional relationship.
c) In graph c, as the x-values increase, the y-values do not increase at a constant rate. This means that it does not follow a proportional relationship.
d) Graph d shows a curve, which indicates a non-linear relationship between the x and y-values. Therefore, it does not represent a proportional relationship.
Based on the analysis, the graph that shows a proportional relationship is graph b.
To determine which graph shows a proportional relationship, we need to look for a straight line that passes through the origin (0,0).
Since we don't have a visual representation of the graphs, I can't point out the specific graph. However, you can identify the graph showing a proportional relationship based on the following criteria:
1. A straight line passing through the origin (0,0)
2. All the data points on the line should lie in a straight line, indicating a constant ratio between the variables.
An example of a proportional relationship graph is shown below:
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The correct graph will show a straight line that passes through the origin and has all the data points lying on the line.