Every time Jason buys 1 blue marble he buys 2 red marbles. If x = the number of blue marbles Jason buys and y = the number of red marbles Jason buys, which graph represents this direct variation?
We can't see your graphs.
To determine the graph that represents this direct variation, we need to understand the relationship between the number of blue marbles (x) and the number of red marbles (y) that Jason buys.
In this case, for every 1 blue marble (x = 1), Jason buys 2 red marbles (y = 2). We can express this relationship as:
y = 2 * x
This equation shows that the number of red marbles (y) is equal to 2 times the number of blue marbles (x).
To graph this equation, we can create a table of values. Let's choose a few values for x and calculate the corresponding values for y:
For x = 1, y = 2 * 1 = 2
For x = 2, y = 2 * 2 = 4
For x = 3, y = 2 * 3 = 6
Now, we can plot these points on a graph. The x-axis represents the number of blue marbles (x), and the y-axis represents the number of red marbles (y).
Based on the values we calculated, we have the following points: (1, 2), (2, 4), (3, 6).
Connecting these points, we observe that the graph forms a straight line that passes through the origin (0, 0) and has a positive slope. This type of graph is a representation of direct variation.
Therefore, the correct graph representing this direct variation is a straight line that passes through the origin and has a positive slope.