It takes Julian 1/2 an hour to walk 2 miles. He decides to start walking in his spare time, but because she wants to make sure he has enough time to go desired distance, he created the China table at which ratio does the constant of proportionality appear
We can use the formula for calculating speed, which is Distance/Time, to determine the constant of proportionality.
In this case, Julian walks 2 miles in 1/2 an hour. So, his speed is 2 miles / (1/2) hour = 4 miles per hour.
Since the distance is directly proportional to the time, the constant of proportionality is the speed, which is 4.
Therefore, the constant of proportionality appears at a ratio of 4 in this case.
To determine the constant of proportionality in this scenario, we need to find the ratio of time to distance.
Given that it takes Julian 1/2 an hour to walk 2 miles, we can represent this as:
Time: 1/2 hour
Distance: 2 miles
The ratio of time to distance is obtained by dividing the given time by the given distance:
Ratio of Time to Distance = Time / Distance
So, the ratio in this case would be:
Ratio of Time to Distance = (1/2) / 2
Simplifying, we get:
Ratio of Time to Distance = 1/4
Therefore, the constant of proportionality, which represents the ratio at which time and distance are directly proportional, is 1/4.
To find the constant of proportionality in this scenario, we can use the given information that Julian takes 1/2 an hour to walk 2 miles. The constant of proportionality is the ratio between the distance traveled and the time taken.
In this case, the ratio can be found by dividing the distance by the time:
Ratio = Distance / Time
Ratio = 2 miles / (1/2) hour
To divide by a fraction, we can multiply by its reciprocal:
Ratio = 2 miles * (2/1 hour)
Simplifying the multiplication:
Ratio = 4 miles/hour
Therefore, the constant of proportionality in Julian's case is 4 miles per hour. This means that for every hour he walks, he can cover 4 miles.