To solve for [tex]\( F \)[/tex] from the given equation:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
we need to isolate [tex]\( F \)[/tex]. Let's go through the steps to do that.
1. Start with the given equation:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
2. Eliminate the fraction by multiplying both sides of the equation by [tex]\( \frac{9}{5} \)[/tex]:
[tex]\[
C \cdot \frac{9}{5} = (F - 32)
\][/tex]
Simplifying the left side gives:
[tex]\[
\frac{9}{5}C = F - 32
\][/tex]
3. Solve for [tex]\( F \)[/tex] by adding 32 to both sides of the equation:
[tex]\[
\frac{9}{5}C + 32 = F
\][/tex]
Therefore, the correct formula for [tex]\( F \)[/tex] is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
So, from the options given:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
is the correct formula.
