Use the table to answer the 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) Responses No, not all of the ratios are proportional or have equivalence. No, not all of the ratios are proportional or have equivalence. Yes, this data table has a proportional relationship. Yes, this data table has a proportional relationship. No, none of the ratios have equivalence. No, none of the ratios have equivalence. No, you can’t bike 12 miles in an hour. No, you can’t bike 12 miles in an hour. Skip to navigation
No, not all of the ratios are proportional or have equivalence.
urs Money ($)
1 9
2 18
3 27
4 36
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.
(1 point)
Responses
Yes, the ratios are in a proportional relationship.
Yes, the ratios are in a proportional relationship.
No, the ratio of 1 hour to $9 is not proportional.
No, the ratio of 1 hour to $9 is not proportional.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
No, the ratio of 3 hours to $27 is not proportional.
Yes, the ratios are in a proportional relationship.
No, this data table does not have a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of hours to miles is the same for all the given pairs.
First, let's calculate the ratio for each pair:
For the first pair (1 hour, 12 miles): 12 miles / 1 hour = 12 miles/hour
For the second pair (2 hours, 26 miles): 26 miles / 2 hours = 13 miles/hour
For the third pair (3 hours, 30 miles): 30 miles / 3 hours = 10 miles/hour
For the fourth pair (4 hours, 48 miles): 48 miles / 4 hours = 12 miles/hour
Since the ratios are not the same for all pairs (12, 13, 10, 12), the quantities in the data table are not in a proportional relationship. Thus, the correct response is "No, not all of the ratios are proportional or have equivalence."