$R=206.835-1.015 W-84.6 S$ $\newline$ The formula gives the Flesch Reading Ease score $R$ for a passage of text with an average of $W$ words per sentence and an average of $S$ syllables per word. Which of the following equations correctly shows the average number of syllables per word in terms of the average number of words per sentence and the Flesch Reading Ease score? $\newline$ Choose $1$ answer: $\newline$ (A) $S=\frac{R}{84.6}+206.835-1.015 W$ $\newline$ (B) $S=\frac{R}{-84.6}-206.835+1.015 W$ $\newline$ (C) $S=\frac{R}{84.6-206.835+1.015 W}$ $\newline$ (D) $S=\frac{R-206.835+1.015 W}{-84.6}$

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R=206.835-1.015 W-84.6 S

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The formula gives the Flesch Reading Ease score

R

for a passage of text with an average of

W

words per sentence and an average of

S

syllables per word. Which of the following equations correctly shows the average number of syllables per word in terms of the average number of words per sentence and the Flesch Reading Ease score?

\newline

Choose

1

answer:

\newline

(A)

S=\frac{R}{84.6}+206.835-1.015 W

\newline

(B)

S=\frac{R}{-84.6}-206.835+1.015 W

\newline

(C)

S=\frac{R}{84.6-206.835+1.015 W}

\newline

(D)

S=\frac{R-206.835+1.015 W}{-84.6}

Rewrite Equation: Rewrite the original equation to isolate $S$ . $R = 206.835 - 1.015W - 84.6S$
Move Terms: Move all terms involving $S$ to one side and the rest to the other side. $\newline$ $84.6S = 206.835 - 1.015W - R$
Divide by $84$ . $6$ : Divide both sides by $84.6$ to solve for $S$ . $\newline$ $S = \frac{(206.835 - 1.015W - R)}{84.6}$
Rearrange Numerator: Rearrange the terms in the numerator to match the answer choices. $\newline$ $S = \frac{(R - 206.835 + 1.015W)}{(-84.6)}$
Check Answer Choices: Check the answer choices to find the correct one that matches our equation.