Proportional Relationships in Tables Quick Check
4 of 54 of 5 Items
Question
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
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, not all of the ratios are proportional or have equivalence.
No, not all of the ratios are proportional or have equivalence.
No, you can’t bike 12 miles in an hour.
No, you can’t bike 12 miles in an hour.
No, not all of the ratios are proportional or have equivalence.
No, not all of the ratios are proportional or have equivalence.
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 equivalent for all the values in the table.
To do this, we can calculate the ratios for each pair of values and check if they are all the same. Let's calculate the ratios:
For the first pair of values:
Ratio = Miles Traveled / Hours Biked = 12 / 1 = 12
For the second pair of values:
Ratio = Miles Traveled / Hours Biked = 26 / 2 = 13
For the third pair of values:
Ratio = Miles Traveled / Hours Biked = 30 / 3 = 10
For the fourth pair of values:
Ratio = Miles Traveled / Hours Biked = 48 / 4 = 12
As we can see, not all of the ratios are the same. The ratios for the first and fourth pairs are 12, but the ratios for the second and third pairs are different. Therefore, the quantities in the data table do not have a proportional relationship.
The correct answer is:
No, not all of the ratios are proportional or have equivalence.