To find the constant of proportionality (k), we can use any pair of corresponding points from the table and substitute the values of x and y into the equation y = kx. Let's choose the first pair of points (6, 15) to find k.
15 = k(6)
To solve for k, we divide both sides of the equation by 6:
15/6 = k
k = 2.5
Therefore, the value of k, the constant of proportionality, is 2.5.
In her science classroom, Mrs. Hall noticed that the lengths (in inches) and weights (in ounces) of the class's pet ferret were directly related by the equation y = kx, where x is the length and y is the weight. Use the information in the table to find k, the constant of proportionality.3
length x
6,9,12,15
weight y
15,22.5, 30,37.5
k = 2.0
k = 2.0
k = 2.5
k = 2.5
k = 1.5
k = 1.5
k = 3.0
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