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.
(1 point)
Responses
k = 2.0
k = 2.0
k = 2.5
k = 2.5
k = 1.5
k = 1.5
k = 3.0
To find the constant of proportionality, we need to find the ratio of weights to lengths for any given data points. Let's choose one of the data points from the table.
Let's choose the first data point, where the length is 5 inches and the weight is 10 ounces.
Using the equation y = kx, we can plug in the values:
10 = k * 5
Divide both sides by 5:
2 = k
So, the constant of proportionality, k, is equal to 2.0.
Therefore, the correct answer is:
k = 2.0