Question

the table shows the record high temperature, in degrees fahrenheit (°f) or degrees celsius (°c), of certain states.

state	record high temperature
florida	109°f
nevada	125°f
texas	49°c

the formula ( f = 1.8c + 32 ) can be used to convert between degrees celsius and degrees fahrenheit. what is the difference, in degrees celsius, between nevada’s record high temperature and alaska’s record high temperature? round to the nearest tenth.

__°c

Explanation:

Step1: Convert Nevada's temperature to Celsius

We know Nevada's temperature is \(125^\circ\text{F}\), and the formula to convert Fahrenheit to Celsius is derived from \(F = 1.8C+32\), so \(C=\frac{F - 32}{1.8}\). Substitute \(F = 125\) into the formula:
\(C=\frac{125 - 32}{1.8}=\frac{93}{1.8}=51.666\cdots\)

Step2: Find the temperature of Alaska

Alaska's temperature is \(38^\circ\text{C}\).

Step3: Calculate the difference

Subtract Alaska's temperature from Nevada's (in Celsius): \(51.666\cdots- 38 = 13.666\cdots\)

Step4: Round to the nearest tenth

\(13.666\cdots\approx13.7\)

Answer:

\(13.7\)