Question

Hours Biked Miles Traveled

1 12
2 26
3 30
4 48
Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why.

No, you can’t bike 12 miles in an hour.
No, you can’t bike 12 miles in an hour.

No, none of the ratios have equivalence.
No, none of the ratios have equivalence.

Yes, this data table has a proportional relationship.
Yes, this data table has a proportional relationship.

No, not all of the ratios are proportional or have equivalence.

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, not all of the ratios are proportional or have equivalence.

Answer 2

[AI-generated answer — Explain Bot]

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of miles traveled to hours biked are consistent throughout the table.

Let's calculate the ratios for each entry in the table:

For the first entry:
Miles Traveled / Hours Biked = 12 / 1 = 12

For the second entry:
Miles Traveled / Hours Biked = 26 / 2 = 13

For the third entry:
Miles Traveled / Hours Biked = 30 / 3 = 10

For the fourth entry:
Miles Traveled / Hours Biked = 48 / 4 = 12

Since the ratios of miles traveled to hours biked are not consistent, we can conclude that the quantities in the data table are not in a proportional relationship.

Therefore, the correct answer is: No, none of the ratios have equivalence.