Question

what is the temperature of a cup of hot coffee? select the better estimate. 155°c 155°f

Explanation:

Step1: Convert Fahrenheit to Celsius

Use the formula \(C=\frac{5}{9}(F - 32)\).
Substitute \(F = 155\) into the formula: \(C=\frac{5}{9}(155 - 32)=\frac{5}{9}\times123=\frac{615}{9}\approx68.3^{\circ}C\).

Step2: Analyze the two temperatures

The boiling point of water is \(100^{\circ}C\). A temperature of \(155^{\circ}C\) is much higher than the boiling point of water and is not a realistic temperature for a cup of hot coffee. A temperature of \(155^{\circ}F\) (which is approximately \(68.3^{\circ}C\)) is a more reasonable temperature for a cup of hot coffee.

Answer:

\(155^{\circ}F\)