Question

which of the following represents the correct form of c in the formula $f = \frac{9}{5}c + 32$?
\bigcirc a. $c = \frac{5}{9}(f - 32)$
\bigcirc b. $c = \frac{9f}{5} - 32$
\bigcirc c. $c = \frac{5}{9}(f + 32)$
\bigcirc d. $c = \frac{f}{5} - 32$

Explanation:

Step1: Start with the given formula

We have the formula \( F = \frac{9}{5}C + 32 \). Our goal is to solve for \( C \). First, we subtract 32 from both sides of the equation to isolate the term with \( C \).
\( F - 32=\frac{9}{5}C \)

Step2: Solve for \( C \)

To solve for \( C \), we need to multiply both sides of the equation by the reciprocal of \( \frac{9}{5} \), which is \( \frac{5}{9} \).
\( C=\frac{5}{9}(F - 32) \)

Answer:

a. \( C=\frac{5}{9}(F - 32) \)