In her science classroom, Mrs. Hall noticed that the length ( in inches) and weight (in ounces) of the class's pet feret 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 constent of proportionality.
Table
Length/Weight
6 / 15
9 / 22.5
12 / 30
15 / 37.5
1. k = 2.0
2. k = 2.5
3. k =1.5
4. k=3.0
To find the constant of proportionality, we need to look for a consistent relationship between the length and weight values.
First, let's take a look at the ratio between length and weight for each row in the table:
For the first row: 15/6 = 2.5
For the second row: 22.5/9 = 2.5
For the third row: 30/12 = 2.5
For the fourth row: 37.5/15 = 2.5
Notice that the ratio between length and weight is consistent across all rows, and that ratio is 2.5.
Therefore, the constant of proportionality, k, is 2.5.
Therefore, the correct answer is 2. k = 2.5.