Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
A
The relationship is proportional.
B
The relationship is not proportional.
To determine whether the relationship between hours biked and miles traveled is proportional, we need to check if the ratio of the distance traveled to the hours biked is constant.
Let's examine the table:
Hours Biked: 1 2 3 4
Distance (miles): 10 20 30 60
If we calculate the ratios for each pair of values, we get:
Ratio for 1 hour: 10 miles / 1 hour = 10 miles/hour
Ratio for 2 hours: 20 miles / 2 hours = 10 miles/hour
Ratio for 3 hours: 30 miles / 3 hours = 10 miles/hour
Ratio for 4 hours: 60 miles / 4 hours = 15 miles/hour
The ratios are not all the same, so the relationship between hours biked and miles traveled is not proportional.
Therefore, the answer is B: The relationship is not proportional.
In order to determine whether the relationship between hours biked and miles traveled is proportional, we can examine the given table. However, you haven't provided the table. Could you please provide the table with the relevant information?
To determine whether the relationship between hours biked and miles traveled is proportional, we need to compare the ratios of the distances to the corresponding hours biked.
First, let's look at the table:
| Hours Biked | Miles Traveled |
|-------------|----------------|
| 2 | 10 |
| 4 | 20 |
| 6 | 30 |
| 8 | 40 |
To check whether the relationship is proportional, we need to check if the ratios are equal.
For example, let's check the ratio of the first row:
1) 10 miles / 2 hours = 5 miles per hour
Now, let's do the same for the other rows:
2) 20 miles / 4 hours = 5 miles per hour
3) 30 miles / 6 hours = 5 miles per hour
4) 40 miles / 8 hours = 5 miles per hour
Since all the ratios are equal (5 miles per hour), we can conclude that the relationship between hours biked and miles traveled is proportional.
Therefore, the answer is:
A) The relationship is proportional.