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How does graphing the line help us represent the value of k (constant of proportionality)?

How does graphing the line help us represent the value of k (constant of proportionality-example-1
User Minx
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Answer:

The graph of the line shows that the value of k is the y-coordinate of the point where the x-coordinate is equal to 1.

k = 2.5

1 seagull eats 2.5 pounds of garbage.

Step-by-step explanation:

First, we need to draw the point (4, 10) on the graph because 4 seagulls eat 10 pounds of garbage. Then, we need to draw a line that passes through this point, and through (0, 0). Finally, we need to identify the number of pounds of garbage when the number of seagulls is 1 or identify the point (1, k). So, we get:

Therefore, the value of k = 2.5 is the constant of proportionality and tell us the number of pounds of garbage that each seagull eat.

So, the graph of the line shows that the value of k is the y-coordinate of the point where the x-coordinate is equal to 1. Also, k represents the slope of the line.

How does graphing the line help us represent the value of k (constant of proportionality-example-1
User Krisz
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