To answer your questions about the graph:
Question 1
The point (9, 90) can be interpreted as follows:
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9 represents: The independent variable (often denoted as \(x\)). If we consider this point in a context like a linear relationship, it could represent an input such as time, quantity, or any other measurable factor. For example, if the graph represents speed vs. time, then 9 could represent the time in hours.
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90 represents: The dependent variable (often denoted as \(y\)). This would be the output that results from the input represented by 9. Continuing with the previous example, if the graph represents speed vs. time, then 90 could represent distance traveled in miles.
Question 2
To determine the point for the constant of proportionality, we need more information about the relationship defined by the graph. The constant of proportionality for a linear relationship is typically found by identifying a point on the line that represents a ratio of the dependent variable to the independent variable.
If we assume the relationship follows the form \(y = kx\) (where \(k\) is the constant of proportionality), the coordinates of the point that represents this can be expressed as:
\[ (k, 1) \]
This means that for a full answer, we'd need a specific context or additional information from the graph to provide the exact coordinates. If you have that information or more context, please share it, and I can give a more precise answer!
1 answer