Determine if the data in the table represents a proportional relationship. If not, indicate why.
hours biked: 1 miles traveled: 12
hours biked: 2 miles traveled: 26
hours biked: 3 miles traveled: 30
hours biked: 4 miles traveled: 48
options:
Yes, the data represents a proportional relationship.
Yes, the data represents equivalent ratios.
No, the ratios are not all equivalent.
No, the ratios cannot be simplified.
No, the data represents equivalent ratios.
Yes, the data represents a proportional relationship.
Yes, the data represents equivalent ratios.
No, the ratios are not all equivalent.
No, the ratios cannot be simplified.
Yes, the data represents a proportional relationship.
To determine if the data in the table represents a proportional relationship, we need to check if the ratios of miles traveled to hours biked are all equivalent.
To do this, we can calculate the ratios for each row of data:
For the first row:
Ratio = miles traveled / hours biked = 12 / 1 = 12
For the second row:
Ratio = miles traveled / hours biked = 26 / 2 = 13
For the third row:
Ratio = miles traveled / hours biked = 30 / 3 = 10
For the fourth row:
Ratio = miles traveled / hours biked = 48 / 4 = 12
Since the ratios are not all equivalent, we can conclude that the data in the table does not represent a proportional relationship.
Therefore, the correct answer is: No, the ratios are not all equivalent.