Subjects algebra

Patient Temperature

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1. **State the problem:** A nurse recorded a patient's temperature at different times over two days. We need to answer questions about the frequency of measurements, temperature differences, normal temperature days, and work with the equation $y = x + 4$. 2. **How many times a day was the patient’s temperature taken?** - The graph shows 4 measurements per day: at 06:00, 12:00, 16:00, and 24:00. - **Answer:** 4 times per day. 3. **What is the difference between the highest and the lowest temperatures?** - Highest temperature from the graph is about 40 °C (Day 1 at 06:00). - Lowest temperature is about 36.5 °C (Day 2 at 24:00). - Difference = $40 - 36.5 = 3.5$ °C. 4. **On what day was the patient’s temperature normal (37 °C)?** - Normal body temperature is 37 °C. - From the graph, temperature is closest to 37 °C on Day 2 at 06:00 and 12:00. - **Answer:** Day 2. 5. **Use the equation $y = x + 4$ to find $y$ for given $x$ values:** - For $x = -2$, $y = -2 + 4 = 2$. - For $x = -1$, $y = -1 + 4 = 3$. - For $x = 0$, $y = 0 + 4 = 4$. - For $x = 1$, $y = 1 + 4 = 5$. - For $x = 2$, $y = 2 + 4 = 6$. 6. **Plot the ordered pairs:** - Points are $(-2,2)$, $(-1,3)$, $(0,4)$, $(1,5)$, $(2,6)$. - When plotted on Cartesian plane and joined, these points form a straight line with slope 1 and y-intercept 4. **Final answers:** - 10.1.1: 4 times per day. - 10.1.2: Temperature difference is 3.5 °C. - 10.1.3: Patient’s temperature was normal on Day 2. - 10.2.1: $y$ values are 2, 3, 4, 5, 6 for $x = -2, -1, 0, 1, 2$ respectively.