Question

on your own

1. the formula $f = 1.8c + 32$ can be used to convert temperature units. $f$ is degrees fahrenheit, and $c$ is degrees celsius. convert the december record low temperature to the nearest tenth.

| record low temperatures |
| --- |

december	$-5\\,^\circ\text{f}$
january	$-10\\,^\circ\text{f}$
february	$-7\\,^\circ\text{f}$

Explanation:

Step1: Rearrange the formula to solve for C

We have the formula \( F = 1.8C + 32 \). To solve for \( C \), first subtract 32 from both sides: \( F - 32 = 1.8C \). Then divide both sides by 1.8: \( C=\frac{F - 32}{1.8} \).

Step2: Substitute F = -5 into the formula

We know the December record low temperature in Fahrenheit is \( F=-5 \). Substitute \( F = -5 \) into the formula for \( C \): \( C=\frac{-5 - 32}{1.8} \).

Step3: Calculate the numerator

First, calculate the numerator: \( -5-32=-37 \). So now we have \( C=\frac{-37}{1.8} \).

Step4: Perform the division and round

Calculate \( \frac{-37}{1.8}\approx - 20.6 \) (rounded to the nearest tenth).

Answer:

The December record low temperature in Celsius is approximately \(-20.6^\circ C\)