Question

the formula for converting from degrees celsius (c) to degrees fahrenheit (f) is $f = \frac{9}{5}c + 32$
refer to the formula above. if the temperature in fahrenheit is $68^\circ$, what is the temperature in celsius?
$\bigcirc$ $34^\circ$
$\bigcirc$ $20^\circ$
$\bigcirc$ $154^\circ$
$\bigcirc$ $6^\circ$

Explanation:

Step1: Substitute F with 68

We know the formula \( F=\frac{9}{5}C + 32 \), and we are given that \( F = 68 \). So we substitute \( F \) in the formula:
\( 68=\frac{9}{5}C+32 \)

Step2: Subtract 32 from both sides

To isolate the term with \( C \), we subtract 32 from both sides of the equation:
\( 68 - 32=\frac{9}{5}C+32 - 32 \)
\( 36=\frac{9}{5}C \)

Step3: Solve for C

To solve for \( C \), we multiply both sides of the equation by the reciprocal of \( \frac{9}{5} \), which is \( \frac{5}{9} \):
\( C = 36\times\frac{5}{9} \)
\( C=\frac{36\times5}{9} \)
\( C = 4\times5 \)
\( C = 20 \)

Answer:

20° (corresponding to the option "20°")