Question

question
freezer cases in grocery stores are typically set at a lower temperature compared to freezers in our homes because they are opened and closed by customers throughout the day. a grocery store freezer case is set to 27°f. what is the temperature of the freezer case in °c?
round to one decimal place.
provide your answer below:

Explanation:

Step1: Recall the conversion formula

The formula to convert Fahrenheit ($F$) to Celsius ($C$) is $C=\frac{5}{9}(F - 32)$.

Step2: Substitute the given Fahrenheit value

Given $F = 27$, substitute it into the formula: $C=\frac{5}{9}(27 - 32)$.

Step3: Simplify the expression inside the parentheses

First, calculate $27-32=-5$. So the formula becomes $C=\frac{5}{9}\times(-5)$.

Step4: Perform the multiplication

$\frac{5}{9}\times(-5)=\frac{-25}{9}\approx - 2.8$ (rounded to one decimal place).

Answer:

$-2.8^{\circ}C$