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)
Apologies for the confusion. Let's calculate the ratio using the given data:
Ratio = Pages / Time
For option A, the ratio would be: 2 / 60 = 1/30
For option B, the ratio would be: 1 / 30 = 1/30
For option C, the ratio would be: 15 / (1/2) = 15 * 2 = 30
For option D, the ratio would be: (1/1/2) / 30 = 2/3 * 30 = 20
Therefore, the correct answer is:
C: (15, 1/2)
The ratio between the number of pages read and the time taken is constant. Let's calculate this ratio using the given data:
Ratio = Pages / Time
For option A, the ratio would be: 2 / 60 = 1/30
For option B, the ratio would be: 1 / 30 = 1/30
For option C, the ratio would be: 15 / (1/2) = 15 * 2 = 30
For option D, the ratio would be: (1/1/2) / 30 = 2/3 * 30 = 20
Therefore, the correct answer is:
C: (15, 1/2)
We're doing Fractions here, what is the answer?
To determine the constant of proportionality, we need to find the ratio between the number of pages Ruth can read and the time it takes her to do so.
We are given that Ruth can read 15 pages in 30 minutes. To calculate the ratio, we divide the number of pages by the time taken:
Ratio = Pages / Time = 15 / 30 = 1/2
Therefore, the correct answer is C:(15, 1/2).
To find the ratio of the constant of proportionality, we can use the formula:
ratio = y / x
where y is the dependent variable and x is the independent variable. In this case, the independent variable is the time (in minutes) and the dependent variable is the number of pages read.
From the given information, we know that Ruth can read 15 pages in 30 minutes. So, we have:
x = 30 minutes
y = 15 pages
Now, let's check the options:
A: (2, 60)
Here, x = 2 and y = 60. However, this does not match the given data of Ruth's reading rate. So, option A is not the correct ratio.
B: (1, 30)
Here, x = 1 and y = 30. This matches the given data of Ruth's reading rate. Therefore, we can use this option to calculate the ratio.
ratio = y / x = 30 / 1 = 30
C: (15, 1/2)
Here, x = 15 and y = 1/2. Again, this does not match the given data. So, option C is not the correct ratio.
D: (1/1/2, 30)
Here, the given values are not clear. The format is incorrect as well. So, option D is not the correct ratio.
Therefore, the correct ratio of the constant of proportionality is B: (1, 30).