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? (11-2,30) (15,1-2) (2,60) (1,30)
Answers:
A. 2, 60
B. 1, 30
C. 1/2, 15
D. 15,30
To determine the ratio of the constant of proportionality, we need to find the corresponding pairs of values for time and number of pages read.
The given data provides the following pairs:
(11-2,30) (15,1-2) (2,60) (1,30)
Let's calculate the ratios for each pair:
For the pair (11-2,30), the ratio is (30) / (11-2) = 30/9 = 10/3.
For the pair (15,1-2), the ratio is (1-2) / (15) = -1/15.
For the pair (2,60), the ratio is (60) / (2) = 30.
For the pair (1,30), the ratio is (30) / (1) = 30.
From these ratios, it can be observed that the constant of proportionality is 30.
Therefore, the correct answer is D. 15,30.