The SMOG (Simplified Measure of Gobbledygook) readability formula estimates the reading grade level required by a person if he or she is to fully understand the written material assessed. The SMOG formula is defined as SMOG reading grade level $= \sqrt { w } + 3$ where w is the number of words that have three or more syllables that should appear in a sample of 30 sentences. A writer of children's books has decided to write a book that can be fully understood by children at the 5th-grade level. What is the maximum number of words with three or more syllables that should appear in any sample of 30 sentences of the book?
A)6
B)8
C)4
D)5
E)7

Question

Quizplus · Accepted Answer

To target a 5th-grade reading level, set the SMOG formula to 5: $5 = \sqrt{w} + 3$. Solving for $w$, we get $w = (5 - 3)^2 = 4$.

The SMOG (Simplified Measure of Gobbledygook) Readability Formula Estimates the Reading