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
A:(2, 60)
B: (1, 30)
C:(15, 1/2)
D:( 1/1/2, 30)
To find the ratio of the constant of proportionality, we need to determine the relationship between the number of pages read and the time it takes.
Given that Ruth can read 15 pages in 30 minutes, we can set up the following proportion:
15 pages / 30 minutes = K, where K is the constant of proportionality.
To simplify this proportion, we can divide both the numerator and denominator by 15:
1 page / 2 minutes = K
Therefore, the correct ratio for the constant of proportionality is C: (15, 1/2).
you sure
Apologies for the confusion. I made a mistake in the previous response.
From the given information, Ruth can read 15 pages in 30 minutes.
To find the constant of proportionality, we need to determine how many pages Ruth can read in 1 minute.
If she can read 15 pages in 30 minutes, then she can read 1 page in 30/15 = 2 minutes.
Therefore, the ratio of the constant of proportionality is A: (2, 60).
To determine the constant of proportionality in this scenario, we need to find how many pages Ruth can read in one minute.
The ratio of pages read to time spent is 15 pages / 30 minutes, which simplifies to 1/2 page per minute.
Now let's examine the options provided:
A: (2, 60) - This states Ruth can read 2 pages in 60 minutes, which is not the same ratio as the original data.
B: (1, 30) - This states Ruth can read 1 page in 30 minutes, which matches the original data and indicates a possible constant of proportionality.
C: (15, 1/2) - This states Ruth can read 15 pages in 1/2 minutes, which is not the same ratio as the original data.
D: (1/1/2, 30) - This notation is incorrect and does not provide usable information.
Comparing the options, (B) (1, 30) matches the original data and represents the correct ratio of pages read to time spent. Therefore, the constant of proportionality in this case is 1 page per 30 minutes.