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.
Explanation & Answer
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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
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