Question

the formula to convert from fahrenheit to celsius is given below. the temperature on a summer day in phoenix, arizona is 158 °f. what would this temperature be in degrees celsius?
$c = \frac{5}{9}(f - 32) =$
question help: worked example 1 post to forum

Explanation:

Step1: Substitute the Fahrenheit value into the formula

Given \(F = 158\), substitute into \(C=\frac{5}{9}(F - 32)\). So we get \(C=\frac{5}{9}(158 - 32)\).

Step2: Calculate the value inside the parentheses

First, calculate \(158-32=126\). Then the formula becomes \(C=\frac{5}{9}\times126\).

Step3: Perform the multiplication

\(\frac{5}{9}\times126=\frac{5\times126}{9}\). Since \(126\div9 = 14\), then \(5\times14 = 70\).

Answer:

\(70\)