determine if the data in the table represents a proportional re;ationship. if not, incated why?

Question

hours biked miles traveled
1 12
2 26
3 30
4 48

answers yes, 1.the data represents a proportional relationship. 2.yes, the data represents equivalent ratios 3. no, the ratios are not all equivalent. 4. no, the ratios cannot be simplified

Answer 1

The correct answer is 3. No, the ratios are not all equivalent.

To determine if the data represents a proportional relationship, we need to check if the ratios of hours biked to miles traveled are equivalent for all the data points.

Let's calculate the ratios for each data point:

1 hour biked - 12 miles traveled: 1/12 = 0.083...
2 hours biked - 26 miles traveled: 2/26 = 0.077...
3 hours biked - 30 miles traveled: 3/30 = 0.1
4 hours biked - 48 miles traveled: 4/48 = 0.083...

As we can see, the ratios are not all the same. Therefore, the data does not represent a proportional relationship.