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)
Responses
(4, 1)
left parenthesis 4 comma 1 right parenthesis
(14, 1)
left parenthesis Start Fraction 1 over 4 End Fraction comma 1 right parenthesis
(1, 4)
left parenthesis 1 comma 4 right parenthesis
(1, 14)
left parenthesis 1 comma Start Fraction 1 over 4 End Fraction right parenthesis
The ratio at which the constant of proportionality appears is (1, 4).
To determine at which ratio the constant of proportionality appears, we need to analyze the given data in the table.
The table shows the time it takes Julian to walk a certain distance. One of the entries in the table is (4, 1) which means that it takes Julian 4 hours to walk 1 mile.
In a proportional relationship, the ratio of the time to the distance traveled should be constant. So, we can find the constant of proportionality by calculating the ratio of time to distance for each entry in the table.
For the entry (4, 1), the ratio of time to distance is 4 hours / 1 mile = 4.
Similarly, for the entry (14, 1), the ratio of time to distance is 14 hours / 1 mile = 14.
For the entry (1, 4), the ratio of time to distance is 1 hour / 4 miles = 1/4.
For the entry (1, 14), the ratio of time to distance is 1 hour / 14 miles = 1/14.
From these calculations, we see that the only entry that has a constant ratio of time to distance is (4, 1). Therefore, the correct answer is:
(4, 1)
left parenthesis 4 comma 1 right parenthesis
In order to determine the ratio at which the constant of proportionality appears, we need to examine the data table provided. However, the data table is not mentioned or described in the question. Therefore, it is not possible to determine the ratio at which the constant of proportionality appears with the given information.
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?
(1 point)
Responses
(112, 30)
left parenthesis 1 Start Fraction 1 over 2 End Fraction comma 30 right parenthesis
(2, 60)
left parenthesis 2 comma 60 right parenthesis
(1, 30)
left parenthesis 1 comma 30 right parenthesis
(15, 12)
To determine the ratio at which the constant of proportionality appears in this scenario, we need to examine the given information about Ruth's reading progress.
According to the information provided, Ruth can read 15 pages in 30 minutes. This indicates a proportional relationship between the number of pages read and the time taken.
To find the constant of proportionality, we need to calculate the ratio of the number of pages read to the time taken for each data entry.
For the given data entry (15, 30), the ratio of the number of pages read to the time taken is 15 pages / 30 minutes = 1/2.
Therefore, the correct answer is:
(1, 2)
left parenthesis 1 comma 2 right parenthesis
THAT ISNT THE ANSWER
I apologize for the incorrect response. Let's correctly determine the ratio at which the constant of proportionality appears based on the given information.
We know that Ruth can read 15 pages in 30 minutes. To find the ratio at which the constant of proportionality appears, we need to divide the number of pages read by the time taken for each data entry.
For the given data (15, 30), the ratio of pages read to time taken is 15 pages / 30 minutes = 1/2.
Therefore, the correct answer is:
(1, 2)
left parenthesis 1 comma 2 right parenthesis
Please help I need help
I apologize for any confusion. Let's analyze the given information again to determine the ratio at which the constant of proportionality appears.
According to the information provided, Ruth can read 15 pages in 30 minutes. This means that the ratio of the number of pages read to the time taken is constant.
To find the constant of proportionality, we need to calculate the ratio between the number of pages read and the time taken.
For the given data entry (15, 30), the ratio of the number of pages read to the time taken is 15 pages / 30 minutes = 1/2.
Therefore, the correct answer is:
(1, 2)
left parenthesis 1 comma 2 right parenthesis
Again, I apologize for any confusion caused by my previous incorrect response.