it takes trillion 1/2 hour to walk 2 miles and 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 constant of proportionality appear?
To determine at which ratio the constant of proportionality appears, we need to examine the data table mentioned. However, the table is not provided in the question. Please provide the data table so that I can assist you further.
To determine at which ratio the constant of proportionality appears in the data table, we need to analyze the relationship between the time (in hours) it takes to walk a certain distance (in miles).
Let's take a look at the given information:
- It takes a person a trillion and a half (1/2) hours to walk 2 miles.
To find the constant of proportionality, we need to find a relationship between the time and distance. We can calculate the time it would take to walk a different distance using this relationship.
Let's calculate the average speed at which the person is walking:
Average Speed (in miles per hour) = Distance / Time
Average Speed = 2 miles / (1.5 hours) = 1.33 miles per hour
Now, let's use the average speed to calculate how long it would take to walk other distances:
Distance: 1 mile
Time (hours): 1 mile / (1.33 miles per hour) = 0.75 hours
Distance: 3 miles
Time (hours): 3 miles / (1.33 miles per hour) = 2.25 hours
Distance: 4 miles
Time (hours): 4 miles / (1.33 miles per hour) = 3 hours
If we observe the calculated times, we can see that the ratio of distance to time remains constant at approximately 1.33 miles per hour. This means that the constant of proportionality is approximately 1.33. Therefore, the constant of proportionality appears at a ratio of 1.33.
To determine at which ratio the constant of proportionality appears in the given data table, we need to analyze the relationship between the time it takes to walk and the distance covered.
Let's first convert the given time from trillion and a half hours to a more manageable form. One trillion is equal to 1,000,000,000,000. Hence, "trillion 1/2 hour" can be calculated as follows:
1 trillion = 1,000,000,000,000
1/2 hour = 0.5 hour
Total time = 1 trillion + 0.5 = 1,000,000,000,000.5 hours
Now, let's take a look at the data table:
Distance (miles) | Time (hours)
-----------------|--------------
2 | 1,000,000,000,000.5
To find the constant of proportionality, we need to determine the ratio of the distances to the corresponding times. Let's calculate the ratios for a few data points:
Ratio = Distance / Time
-----------------------
2 / 1,000,000,000,000.5 ≈ 0.000000000002
From this calculation, it can be observed that the ratio is a very small decimal. As the distance and time values increase, we can expect the ratio to remain relatively constant.
Therefore, the constant of proportionality appears at a ratio of approximately 0.000000000002 in the given data table.