Use the table to answer the question

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. (1 point)
1. No, not all of the ratios are proportional or have equivalence.
2. No, none of the ratios have equivalence.
3. Yes, this data table has a proportional relationship.
4. No, you can't bike 12 miles in an hour.

Answer 1

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

Here's the data provided in the table:

• For 1 hour: 12 miles → Ratio = 12/1 = 12
• For 2 hours: 26 miles → Ratio = 26/2 = 13
• For 3 hours: 30 miles → Ratio = 30/3 = 10
• For 4 hours: 48 miles → Ratio = 48/4 = 12

Next, we compare the ratios:

• 1 hour: 12
• 2 hours: 13
• 3 hours: 10
• 4 hours: 12

Since the ratios are not consistent (12, 13, 10, 12), the quantities in the data table do not have a proportional relationship.

Therefore, the correct answer is:

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