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?
Based on the given information, Julian takes 1/2 hour to walk 2 miles. We can calculate the ratio of time to distance by dividing the time by the distance:
1/2 hour / 2 miles = 1/4 hour per mile
Therefore, the constant of proportionality in this case is 1/4 (or 0.25) which represents the ratio of time to distance.
To determine the ratio at which the constant of proportionality appears, let's analyze the given information.
We know that Julian takes 1/2 hour to walk 2 miles. Let's write this as a ratio:
1/2 hour : 2 miles
Now, let's simplify this ratio by multiplying it by 2 to eliminate the fraction:
(1/2) * 2 : 2 * 2
1 : 4
After simplification, we have:
1 hour : 4 miles
Therefore, the constant of proportionality appears at a ratio of 1:4, indicating that for every 1 hour of walking, Julian covers 4 miles.
To determine the constant of proportionality, we need to analyze the given information. In this case, Julian takes 1/2 hour to walk 2 miles.
Let's define the distance Julian walks as "d" and the time he takes to walk as "t."
From the given information, we can construct a ratio by dividing the distance by the time:
d/t = 2 miles / 1/2 hour
To simplify, we divide 2 miles by 1/2 hour:
d/t = 2 * 2 = 4 miles/hour
Therefore, the constant of proportionality, which represents the ratio of distance to time, is 4 miles per hour.