Can someone please help me understand ?

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The Spache Readability Formula is designed to categorize reading materials for grades 1-3. For a passage of text, the variables are S, the number of sentences, W, the number of words, and U, the number of unfamiliar words (words not on a specific list). The formula (as revised) for the grade level is

Grade level = 0.121


 + 0.082U + 0.659

b) What is the maximum possible number of sentences?

(c) What is the minimum number of sentences that would put this passage at the second-grade level? 

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

For maximum number of sentences;
we Maximise Grade level = 0.121w/s + 0.082U + 0.659 with respect to s, number of sentences
change in Grade/ Change in S  =  (-0.121w)/(s^2) = 0
thus s =
 For minimum number of sentences we integrate the fxn to get; s = 1, One sentence

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 22nd, 2015

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