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 please answer
6 answers
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.
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.
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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