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R=(F)/(N+F) A website uses the formula...

`R=(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=(RN)/(R-1)`

B

`F=(RN)/(1-R)`

C

`F=(N)/(1-R)`

D

`F=(N)/(R-1)`

Text Solution

Verified by Experts

Choice B is correct. Multiplying each side of `R=(F)/(N+F)` by `N+F` gives `R(N+F)=F`, which can be rewritten as `RN+RF=F`. Subtracting RF from each side of `RN+RF=F` gives `RN=F-RF`, which can be factored as `RN=F(1-R)`. Finally, dividing each side of `RN=F(1-R)` by `1-R`, expresses F in terms of the other variables: `F=(RN)/(1-R)`.
Choices A, C, and D are incorrect and may result from calculation errors when rewriting the given equation.
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