Question

the formula to convert °f to °c is $c = \frac{5}{9}(f - 32)$. convert $50^circ$c to °f. \bigcirc $10^circ$f \bigcirc $20^circ$f \bigcirc $122^circ$f \bigcirc $132^circ$f

Explanation:

Step1: Start with the given formula

We have the formula for converting Fahrenheit to Celsius: \( C = \frac{5}{9}(F - 32) \). We need to solve for \( F \) when \( C = 50 \). First, multiply both sides of the equation by \( \frac{9}{5} \) to isolate \( (F - 32) \).
\[
\frac{9}{5}C = F - 32
\]

Step2: Substitute \( C = 50 \) into the equation

Substitute \( C = 50 \) into \( \frac{9}{5}C \):
\[
\frac{9}{5} \times 50 = F - 32
\]
Simplify \( \frac{9}{5} \times 50 \). \( 50 \div 5 = 10 \), and \( 10 \times 9 = 90 \). So we have:
\[
90 = F - 32
\]

Step3: Solve for \( F \)

Add 32 to both sides of the equation:
\[
F = 90 + 32
\]
\[
F = 122
\]

Answer:

122°F (corresponding to the option "122°F")