Problem

\[
R=\frac{F}{N+F}
\]
A website uses the formula above to calculate a seller's rating, \( R \), based on the number of favorable reviews, \( F \), and unfavorable reviews, \( N \). Which of the following expresses the number of favorable reviews in terms of the other variables?
A) \( F=\frac{R N}{R-1} \)
B) \( F=\frac{R N}{1-R} \)
C) \( F=\frac{N}{1-R} \)
D) \( F=\frac{N}{R-1} \)

Answer

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Hide Steps

Answer

\( F = \frac{R N}{1-R} \)

Steps

Step 1 ：\( R = \frac{F}{N+F} \)

Step 2 ：\( F = R(N+F) \)

Step 3 ：\( F = \frac{R N}{1-R} \)

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