It takes Julian 1-2 hour to walk 2 miles. He decides to start walking in his spare time but because he wants to make sure he has enough time to go a desired distance he created the data table. At which ratio does the constant of proportionality appear?
The data table is not provided, so it is not possible to determine at which ratio the constant of proportionality appears.
It takes Julian 1-2 hour to walk 2 miles. He decides to start walking in his spare time, but because he wants to make sure he has enough time to go a desired distance he created the data table. At which ratio does the constant of proportionality appear? (1,1-4) (1,4) (4,1) (1-4,1)
The constant of proportionality appears in the ratio (1, 4).
Ruth can read 15 pages in 30 minutes. She decides to create a table to keep track of her progress. From the data provided, at what ratio is the constant of proportionality? (11-2,30) (15,1-2) (2,60) (1,30)
The constant of proportionality in this case is the number of pages read per minute. From the data provided, the ratio at which the constant of proportionality appears is (15, 1-2), where 15 represents the number of pages and 1-2 represents the time in minutes.
To determine the ratio at which the constant of proportionality appears in Julian's data table, we need to analyze the relationship between the time it takes him to walk and the distance he covers.
Given that it takes Julian 1-2 hours to walk 2 miles, we can create a data table to represent the relationship between time and distance:
| Time (in hours) | Distance (in miles) |
|-----------------|---------------------|
| 1 | 2 |
| 2 | 4 |
To find the ratio, we can calculate the distance divided by the time for each entry in the table:
For the first entry: 2 miles / 1 hour = 2 miles/hour.
For the second entry: 4 miles / 2 hours = 2 miles/hour.
We observe that in both cases, the ratio is 2 miles/hour. Therefore, the constant of proportionality in Julian's data table is 2 miles/hour.
To determine the constant of proportionality in Julian's situation, we need to analyze the relationship between the time it takes him to walk and the distance he covers. The given information states that Julian takes 1-2 hours to walk 2 miles.
To start, let's create a data table to represent this relationship:
Time (in hours) Distance (in miles)
1 2
2 4
Now, to identify the constant of proportionality, we can observe the ratio between the time and distance values. We divide the distance by the time for each row in the table:
For the first row:
2 (distance) ÷ 1 (time) = 2
For the second row:
4 (distance) ÷ 2 (time) = 2
As we can see, the ratio between the distance and time values is consistently 2 for both rows. This indicates that the constant of proportionality in Julian's case is 2.
Therefore, the constant of proportionality appears at a ratio of 2:1 (distance:time).