Can someone please help me understand ?

Mathematics
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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(W/S)+0.082U+0.659

In this exercise we consider passages having 270 words and using 8 unfamiliar words.

1. What is the maximum possible number of sentences? 
Sep 25th, 2015

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

the possible grade is in between 1 and 3

Grade level=  0.121(W/S)+0.082U+0.659

                   =0.121*270/S + 0.082*8 +0.659

                    = 32.67 /S + 1.315

 grade level - 1.315 = 32.67 /S

S = 32.67 /  (grade level - 1.315)


so number of sentence will be maximum when grade level is 1

S = 32.67 / 1 - 1.315

   = 32.67 / 0.315

   = 103.714

since it is number of words it is rounded to 103


answer

so maximum possible number of sentences = 103


hope you understood..please message if you have any doubts...thank you
Sep 25th, 2015

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