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:
Let’s break down each question:
1. Average Temperature:
To calculate the average temperature, we use the formula for the arithmetic mean: 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
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
Answer: The average temperature is 30.6°C.
2. Pedro’s Temperature Change:
To determine whether Pedro’s temperature improved or got worse, we compare the initial and final temperatures.
- Initial Temperature: 38.1°C
- Final Temperature: 39.3°C
To calculate how much the temperature increased: Temperature Increase=Final Temperature−Initial Temperature\text{Temperature Increase} = \text{Final Temperature} – \text{Initial Temperature}Temperature Increase=Final Temperature−Initial Temperature Temperature Increase=39.3°C−38.1°C=1.2°C\text{Temperature Increase} = 39.3°C – 38.1°C = 1.2°CTemperature Increase=39.3°C−38.1°C=1.2°C
Since his temperature increased from 38.1°C to 39.3°C, it got worse, indicating that his condition deteriorated.
Answer: Pedro’s temperature increased by 1.2°C, and his condition worsened.
Explanation:
For the first problem, the calculation of the average temperature is straightforward: you simply add the two temperatures and divide by 2, which gives a good estimate of the mean temperature during that period.
In the second problem, the increase in Pedro’s temperature suggests he is running a fever. An increase of 1.2°C indicates that his temperature is moving further away from the normal body temperature range (around 37°C), which can be a sign of illness or infection. Thus, it’s important for Pedro to monitor his health further or seek medical attention if necessary.
