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Question
Which graph represents the following relationship between x and y?
y = 3x
Responses
A Image with alt text:
B Image with alt text:
C Image with alt text:
D Image with alt text:
Unfortunately, without the images given as references, it is not possible to determine which graph represents the relationship between x and y. Please provide the images for further assistance.
To determine which graph represents the relationship y = 3x, we need to look for a graph that shows a linear relationship with a slope of 3. Let's analyze the options:
A, B, and C: Without seeing the images, we cannot determine if any of these options represent the given relationship.
D: This image represents a straight line that starts at the origin (0,0) and goes up with a slope of 3. This is the correct graph representation for y = 3x.
Therefore, the correct answer is D.
To determine which graph represents the relationship between x and y given by the equation y = 3x, we need to understand how this equation relates to a graph.
The equation y = 3x represents a linear relationship between x and y, where y is three times the value of x. This means that for every increase in x by 1 unit, y will increase by 3 units.
To graph this equation, we can choose different values for x and calculate the corresponding values of y. Let's calculate some points to plot on the graph:
For x = 0, y = 3(0) = 0
For x = 1, y = 3(1) = 3
For x = 2, y = 3(2) = 6
Plotting these points on a graph, we can then connect them with a straight line to represent the linear relationship between x and y.
Now, based on the options provided (A, B, C, D), we need to determine which graph represents this linear relationship. Unfortunately, without the actual images or alt text, I cannot accurately describe which graph matches the equation y = 3x.
However, you can solve this by visual inspection. Look at the graphs and identify the one that shows a straight line with a slope of 3 (the slope represents the rate at which y changes as x changes). Also, make sure the line passes through the origin (0,0), as indicated by the equation y = 3x.
After identifying the correct graph, select the corresponding option (A, B, C, or D) as your answer.