Hours. Miles
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.
A. No you can't bike 12 miles in an hour
B. No not all of the ratios are proportional or have equivalence
C. No none of the ratios have equivalence
D. Yes this data has a proportional y
relationship as the ratios between hours and miles are consistent.
The correct answer is B. No not all of the ratios are proportional or have equivalence.
To determine if there is a proportional relationship between the hours and miles, we need to check if the ratios are consistent or the same. In this case, the ratios are as follows:
1 hour = 12 miles
2 hours = 26 miles
3 hours = 30 miles
4 hours = 48 miles
From these ratios, we can see that the first ratio is not consistent with the others. The ratio of 1 hour to 12 miles is not the same as the ratios for the other values. Therefore, the quantities in the data table do not have a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we can calculate the ratios between the hours and miles.
Let's calculate the ratios for each data point:
1. 12 miles / 1 hour = 12 miles/hour
2. 26 miles / 2 hours = 13 miles/hour
3. 30 miles / 3 hours = 10 miles/hour
4. 48 miles / 4 hours = 12 miles/hour
Now, let's check if the ratios are the same or equivalent.
Comparing the ratios:
12 miles/hour ≠ 13 miles/hour
12 miles/hour ≠ 10 miles/hour
Since the ratios are not the same or equivalent for all the data points, we can conclude that the quantities in the data table do not have a proportional relationship.
Therefore, the correct answer is B: No, not all of the ratios are proportional or have equivalence.