Question

1. given the equation $f=\frac{9}{5}c + 32$ where $f$ is fahrenheit and $c$ is celsius. if the temperature is $37^{circ}f$, what is the temperature in celsius?

Explanation:

Step1: Substitute \( F = 37 \) into the formula

Given \( F=\frac{9}{5}C + 32 \), when \( F = 37 \), we have \( 37=\frac{9}{5}C+32 \).

Step2: Isolate the term with \( C \)

Subtract 32 from both sides: \( 37 - 32=\frac{9}{5}C+32 - 32 \), so \( 5=\frac{9}{5}C \).

Step3: Solve for \( C \)

Multiply both sides by \( \frac{5}{9} \): \( C = 5\times\frac{5}{9}=\frac{25}{9}\approx2.78 \).

Answer:

\( C=\frac{25}{9}\approx2.78^{\circ}\text{C} \)