A researcher has developed an algorithm for analyzing documents. To test the performance he runs the algorithm on documents with lengths of 10 pages, 20 pages, and 30 pages. The run times were 0.1 seconds, 0.2 seconds, and 0.4 seconds. Would the algorithm be reasonable for analyzing a 300 page document? Explain.(1 point)

Question

A researcher has developed an algorithm for analyzing documents. To test the performance he runs the algorithm on documents with lengths of 10 pages, 20 pages, and 30 pages. The run times were 0.1 seconds, 0.2 seconds, and 0.4 seconds. Would the algorithm be reasonable for analyzing a 300 page document? Explain.(1 point)

Responses

Yes, the run time is growing exponentially. For a 300 page document, it would still only be a few minutes.
Yes, the run time is growing exponentially. For a 300 page document, it would still only be a few minutes.

No, the run time is growing exponentially. For a 300 page document, it would be unreasonably long.
No, the run time is growing exponentially. For a 300 page document, it would be unreasonably long.

Yes, the run time is growing linearly. For a 300 page document, it would still only be a few minutes.
Yes, the run time is growing linearly. For a 300 page document, it would still only be a few minutes.

No, the run time is growing linearly. For a 300 page document, it would be unreasonably long.
No, the run time is growing linearly. For a 300 page document, it would be unreasonably long.

Answer 1

No, the run time is growing exponentially. For a 300 page document, it would be unreasonably long. This is because as the length of the document increases, the run time also increases at an exponential rate based on the data provided for the 10, 20, and 30 page documents. Analyzing a 300 page document with this algorithm would likely take a significantly longer time than a few minutes.