Proportional Relationships in Tables Quick Check 2 of 52 of 5 Items Question Use the table to answer the question. Time (hours) Pages read 12 15 1 30 112 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, at what ratio is the constant of proportionality? (1 point) Responses (2, 60) left parenthesis 2 comma 60 right parenthesis (15, 12) left parenthesis 15 comma Start Fraction 1 over 2 End Fraction right parenthesis (1, 30) left parenthesis 1 comma 30 right parenthesis (112, 30)

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

1 answer

The correct answer is B. (15. 1/2).

To find the constant of proportionality, we need to find the ratio between the number of pages read and the time taken to read them.

From the table, we can see that when Ruth reads 15 pages, she takes 30 minutes.

So the ratio between the number of pages read and the time taken is 15:30, which simplifies to 1:2.

Therefore, the constant of proportionality is 1/2.
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