Q27. - Algebra 1

Question

Translate the following sentence into a formula:

“Celsius temperature C is five ninths’ times the difference of the Fahrenheit temperature F and 32”.

Step-by-Step Solution

Answer

The formula is $C=\frac{5}{9}\left(F-32\right)$.

Step 1. Given information.

The given sentence is:

Celsius temperature is five ninths’ times the difference of Fahrenheit temperature and 32.

Step 2. Write the variable.

Consider the Celsius temperature be C and Fahrenheit temperature be F.

Step 3. Write the expression.

The expression for the difference of Fahrenheit temperature and 32 is $F-32$.

Then, the expression for five ninths’ of $F-32$ is $\frac{5}{9}\left(F-32\right)$.

Step 4. Write the formula.

Since Celsius temperature is equal to $\frac{5}{9}\left(F-32\right)$,

Therefore,

$C=\frac{5}{9}\left(F-32\right)$

This is the required formula.