Can someone please help me understand ?

User Generated

Pnyphyngbe1

Mathematics

Description

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? 

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Explanation & Answer

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


Anonymous
Really helpful material, saved me a great deal of time.

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