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Chapter 1: Problem 43

While traveling outside the United States, you feel sick. A companion gets you a thermometer, which says your temperature is \(39 .\) What scale is that on? What is your Fahrenheit temperature? Should you seek medical help?

Short Answer

Expert verified
The temperature is given on the Celsius scale. The Fahrenheit equivalent temperature is approximately 102.2 F. Yes, you should seek medical help as the temperature is above 100.4 F.

Step by step solution

01

Determine the Scale

The given temperature is 39 which is too high to be on the Fahrenheit scale and too low to be on the Kelvin scale. Therefore, the 39 must be on the Celsius scale.
02

Convert Celsius to Fahrenheit

The formula to convert a temperature from Celsius to Fahrenheit is \(F = C * (9/5) + 32\). Substituting the given Celsius temperature into the formula gives: \(F = 39 * (9/5) + 32\).
03

Compute Fahrenheit temperature

Calculate the Fahrenheit temperature based on previous formula, which yields: \(F = 102.2\).
04

Should you seek help?

In general, a temperature above 100.4 F is considered a fever and you should seek medical help. So with the Fahrenheit temperature being 102.2 F, it is recommended to seek medical help.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Celsius to Fahrenheit
Understanding how to convert Celsius to Fahrenheit is essential. Some regions of the world use Celsius, while others use Fahrenheit. To convert a temperature from Celsius (掳C) to Fahrenheit (掳F), we use the formula:
  • \( F = C \times \frac{9}{5} + 32 \)
Here, you multiply the Celsius temperature by 9/5, then add 32. This conversion helps you understand how temperatures compare across different scales.
For example, to convert 39掳C, you plug it into the formula:
  • \( F = 39 \times \frac{9}{5} + 32 = 102.2 \ \text{掳F} \)
This mathematical operation gives you a temperature in Fahrenheit, which is helpful when you are in regions that use this scale to communicate temperature.
fever evaluation
Evaluating fevers is important to understanding one's health status. A fever is a temporary increase in your body's temperature, often due to an illness.
Doctors cite specific thresholds when evaluating a fever:
  • A body temperature above 100.4掳F (38掳C) indicates a fever.
  • Temperatures above this can suggest an underlying illness needing medical attention.
In the example provided, the Fahrenheit temperature is 102.2掳F, depicting a clear fever. Understanding these thresholds is essential for determining when to seek medical help and ensures that you take the appropriate steps to care for your health.
thermometer
Thermometers are essential tools for measuring body temperature. They help you assess your current health state, especially when feeling unwell. There are various types of thermometers, including:
  • Digital thermometers which provide accurate and quick readings.
  • Mercury or glass thermometers, although less commonly used today due to safety concerns.
  • Infrared thermometers often used for quick surface reading, like forehead thermometers.
When traveling, it is useful to have a thermometer that reads in Celsius, as Celsius is a widely accepted temperature scale globally.
Understanding how to read and interpret these tools ensures that you can accurately monitor your health and make informed decisions based on the readings.

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Most popular questions from this chapter

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