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 please answer

Based on the information given, we can determine the ratio at which the constant of proportionality appears in Julian's data table.

To find the constant of proportionality, we can use the given information that Julian takes 1/2 hour to walk 2 miles. The equation that represents this relationship can be written as:

time (in hours) = constant of proportionality * distance (in miles)

Plugging in the values we know:

1/2 hour = constant of proportionality * 2 miles

To find the constant of proportionality, we can divide both sides of the equation by 2 miles:

(1/2 hour) / (2 miles) = constant of proportionality

Simplifying the expression on the left side:

1/4 hour/mile = constant of proportionality

Therefore, the ratio at which the constant of proportionality appears in Julian's data table is 1/4 hour/mile.

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

In this scenario, the constant of proportionality represents the relationship between time and distance. To determine the ratio at which the constant of proportionality appears, we can set up the equation:

time (in hours) = constant of proportionality * distance (in miles)

Based on the information given (Julian takes 1/2 hour to walk 2 miles), we can substitute the values into the equation:

1/2 hour = constant of proportionality * 2 miles

To find the constant of proportionality, we rearrange the equation:

constant of proportionality = (1/2 hour) / (2 miles)

Simplifying the expression on the right side:

constant of proportionality = 1/4 hour per mile

Therefore, the ratio at which the constant of proportionality appears is 1/4 hour per mile.

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?

To find the ratio at which the constant of proportionality appears in Ruth's data table, we can use the given information that she can read 15 pages in 30 minutes.

The equation that represents this relationship can be written as:

number of pages = constant of proportionality * time (in minutes)

Plugging in the given values:

15 pages = constant of proportionality * 30 minutes

To find the constant of proportionality, we can divide both sides of the equation by 30 minutes:

15 pages / 30 minutes = constant of proportionality

Simplifying the expression on the left side:

1/2 pages/minute = constant of proportionality

Therefore, the ratio at which the constant of proportionality appears in Ruth's data table is 1/2 pages/minute.

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To determine the ratio at which the constant of proportionality appears in Julian's data table, we need to look at the relationship between the time it takes him to walk and the distance he covers.

According to the given information, Julian takes 1/2 hour to walk 2 miles. We can write this as a ratio:

Time taken : Distance covered = 1/2 hour : 2 miles

To find the constant of proportionality, we can simplify this ratio by multiplying or dividing both sides by the same number. We can multiply both sides by 2 to eliminate the fraction:

(1/2 hour) * 2 = (2 miles) * 2/1
1 hour = 4 miles

Now, we can rewrite the simplified ratio:

Time taken : Distance covered = 1 hour : 4 miles

In this ratio, the constant of proportionality is 1 hour. Therefore, the constant of proportionality appears at a ratio of 1 : 4.