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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

(112, 30)
left parenthesis 1 Start Fraction 1 over 2 End Fraction comma 30 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

(2, 60)

1 answer

To determine the ratio of the constant of proportionality, we can use the data given. The constant of proportionality represents the ratio between the number of pages read and the time it takes to read them.

From the data provided, Ruth can read 15 pages in 30 minutes. This can be represented as the ratio 15:30.

Simplifying this ratio by dividing both numbers by 15, we get 1:2.

Therefore, the ratio of the constant of proportionality is (1, 2). Therefore, the correct answer is:
left parenthesis 1 Start Fraction 1 over 2 End Fraction comma 30 right parenthesis
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