It takes Julian 12 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 point)
The ratio of the time it takes Julian to walk to the distance he covers in that time is constant. Therefore, the constant of proportionality appears at the ratio of 12 hour to 2 miles, which is 12/2 or 6.
To determine the constant of proportionality in Julian's situation, we can analyze the relationship between the time he walks and the distance he covers.
The given information states that Julian takes 12 hours to walk 2 miles.
We can construct a ratio using these values:
Time : Distance
12 : 2
To simplify this ratio, we can divide both sides by the greatest common divisor (GCD) of 12 and 2, which is 2:
Time : Distance
6 : 1
Now we have a simplified ratio of 6 hours to 1 mile.
The constant of proportionality, in this case, represents the rate at which Julian walks. Since the ratio shows that it takes 6 hours for Julian to walk 1 mile, the constant of proportionality is 6:1.
Therefore, the ratio at which the constant of proportionality appears in the data table is 6:1.
To determine the constant of proportionality, we need to find the ratio between the distance walked and the time taken.
From the given information, Julian takes 12 hours to walk 2 miles. So, the ratio of miles to hours is:
2 miles / 12 hours = 1/6 miles per hour
Therefore, the constant of proportionality appears as 1/6, indicating that Julian walks at a rate of 1/6 miles per hour.