Time (Hours) pages

Question

1/2 15
1 30
1 1/2 45
2 60

Ruth can read 15 pages in 30 minutes. She decides to create a table to keep track of her progress. From the data provided, what is the constant of proportionality.

A. (2, 60)
B. (1 1/2, 30)
C. (15, 1/2)
D. (1,30)

Answer 1

The constant of proportionality can be found by dividing the number of pages read by the time it took to read them. This will be the same for any of the given data points.

For example, at 1/2 hour, Ruth read 15 pages. The constant of proportionality is therefore 15 divided by 1/2, or 30.

So the correct answer is choice D. (1,30).