the graph shows a proportional relationship between the total number of tennis balls and the number of cans. what does the point (2,6) represent in this situation
looks like (2,6), by common sense and having seen tennis ball cans,
means 2 cans and 6 tennis balls
it could mean 6 cans and 2 tennis balls, since you did not define the coordinates
In this situation, since the graph shows a proportional relationship between the total number of tennis balls and the number of cans, the point (2,6) represents a specific data point.
The first value in the ordered pair, 2, represents the number of cans. The second value, 6, represents the total number of tennis balls.
Therefore, at point (2,6), it means that when there are 2 cans, there are a total of 6 tennis balls.
In this situation, the point (2,6) represents a specific data point on the graph that shows the relationship between the total number of tennis balls and the number of cans.
To understand the meaning of this point, we should first understand what a proportional relationship means. In a proportional relationship, as one quantity increases or decreases, the other quantity also increases or decreases by a constant rate or ratio. In other words, if we double one quantity, the other quantity will also double.
Now, let's apply this understanding to the given point (2,6). The first value, 2, represents the number of cans, and the second value, 6, represents the total number of tennis balls. This point tells us that when there are 2 cans, we have a total of 6 tennis balls.
Since we know that there is a proportional relationship between the total number of tennis balls and the number of cans, we can conclude that the ratio of tennis balls to cans remains constant. In this case, we can calculate this ratio by dividing the total number of tennis balls by the number of cans at any given point.
For example, at the point (2,6), the ratio is calculated by dividing 6 (number of tennis balls) by 2 (number of cans), which equals 3. Therefore, in this proportional relationship, for every 1 can, we have 3 tennis balls.
So, in summary, the point (2,6) represents the specific situation where there are 2 cans and 6 tennis balls in a proportional relationship.