Activity 3: Solve the following problems. 1. If the temperature at 11 o’clock in the morning is 28.5°C and becomes 32.7°C, what is the average temperature? 2. Pedro’s temperature this morning was 38.1°C. After 2 hours, his temperature was 39.3°C. Did it improve or get worse? How many degrees did his temperature increase?
The Correct Answer and Explanation is:
Problem 1:
To find the average temperature, we use the formula for the average of two numbers: Average Temperature=Initial Temperature+Final Temperature2\text{Average Temperature} = \frac{\text{Initial Temperature} + \text{Final Temperature}}{2}Average Temperature=2Initial Temperature+Final Temperature
Given:
- Initial temperature = 28.5°C
- Final temperature = 32.7°C
Substituting the values: Average Temperature=28.5+32.72=61.22=30.6°C\text{Average Temperature} = \frac{28.5 + 32.7}{2} = \frac{61.2}{2} = 30.6°CAverage Temperature=228.5+32.7=261.2=30.6°C
So, the average temperature is 30.6°C.
Problem 2:
To determine whether Pedro’s temperature improved or got worse, we compare the two temperatures. The initial temperature is 38.1°C, and after 2 hours, it increases to 39.3°C. Since the temperature increased, we can conclude that Pedro’s condition worsened.
To find how many degrees his temperature increased, we subtract the initial temperature from the final temperature: Temperature Increase=39.3−38.1=1.2°C\text{Temperature Increase} = 39.3 – 38.1 = 1.2°CTemperature Increase=39.3−38.1=1.2°C
So, Pedro’s temperature increased by 1.2°C.
Explanation:
For Problem 1, calculating the average temperature between two given times is straightforward. The formula used finds the midpoint of the temperature range, providing a fair estimate of the overall temperature for the period.
In Problem 2, we assess Pedro’s condition by noting whether the temperature increased or decreased. A higher temperature typically suggests an ongoing fever or worsening health condition. The increase of 1.2°C over 2 hours means Pedro’s health may require attention. Monitoring such changes in temperature is crucial for tracking a person’s health over time.
