Question

Determine if the quantities in the data table or in a proportional relationship if they do not have a proportional relationship indicate why
Hours biked, 1-12 2-26 3-30 4-48

Answer 1

To determine if the quantities in the data table have a proportional relationship, we need to check if the ratio of the corresponding values remains constant.

Let's calculate the ratios for the given data:

For the first two points:
Ratio = Hours biked/Values
Ratio1 = 1/12 = 0.0833
Ratio2 = 2/26 = 0.0769

For the second two points:
Ratio1 = 2/26 = 0.0769
Ratio2 = 3/30 = 0.1

For the third two points:
Ratio3 = 3/30 = 0.1
Ratio4 = 4/48 = 0.0833

As we can see, the ratios are not constant. In a proportional relationship, the ratio should remain the same for all pairs of corresponding values. Therefore, the quantities in the data table do not have a proportional relationship.