Question

Use the image to answer the question.

A graph shows an x-axis ranging from 0 to 12 in increments of 2 and a y-axis ranging from 0 to 84 in increments of 14.

Using the points shown in the graph, identify the constant of proportionality for this graph.

(1 point)
k =
Remaining Attempts : 3
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Answer 1

To find the constant of proportionality (k) from the graph, you need to select two points that lie on the line of the graph. The constant of proportionality can be calculated using the formula:

\[ k = \frac{y}{x} \]

Choose any point (x, y) from the graph. For example, if one point is (2, 28) and another point is (6, 42), you can calculate k as follows:

1. For the point (2, 28):
\[ k = \frac{28}{2} = 14 \]

2. For the point (6, 42):
\[ k = \frac{42}{6} = 7 \]

However, both points must yield the same k if they are on the same line. Make sure to choose points accurately.

If you can provide specific coordinates from the graph, I can help you compute k accurately. Otherwise, you may end up with different constants if the points are inconsistent or not correctly on the line.