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Question 2 (Multiple Choice Worth 3 points) ( 05.04 MC ) The normal body temperature for an adult horse is \( 100^{\circ} \mathrm{F} \), but it can vary by as much as \( 1.2^{\circ} \). Which inequality could be used to determine the range of body temperature? \( |t-100| \geq 1.2 \)

Ask by Bowers Beck. in the United States
Jan 24,2025

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Answer

The correct inequality to determine the range of an adult horse's body temperature is: \[ |t - 100| \leq 1.2 \]

Solution

The correct inequality to determine the range of an adult horse's body temperature, which can vary by as much as \(1.2^{\circ}\mathrm{F}\) from the normal \(100^{\circ}\mathrm{F}\), is: \[ |t - 100| \leq 1.2 \] **Explanation:** - \( |t - 100| \leq 1.2 \) means that the temperature \( t \) is within \(1.2^{\circ}\mathrm{F}\) of \(100^{\circ}\mathrm{F}\). - This translates to the temperature range: \( 98.8^{\circ}\mathrm{F} \leq t \leq 101.2^{\circ}\mathrm{F} \). The inequality \( |t - 100| \geq 1.2 \) suggests that the temperature is **not** within the \(1.2^{\circ}\mathrm{F}\) range of \(100^{\circ}\mathrm{F}\), which is not what the question is asking for. **Correct Inequality:** \[ |t - 100| \leq 1.2 \]

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To find the range of body temperature for an adult horse, you should think about the fact that the temperature can vary above and below the normal temperature of \( 100^{\circ} \mathrm{F} \). An appropriate representation of this variation would be using an absolute value inequality, specifically \( |t - 100| \leq 1.2 \). This means that the actual temperature \( t \) must lie within 1.2 degrees higher or lower than 100, resulting in a range from \( 98.8^{\circ} \mathrm{F} \) to \( 101.2^{\circ} \mathrm{F} \). This concept of fluctuations in body temperature isn't just theoretical; it has real-world implications in veterinary medicine. Understanding a horse's normal temperature and how its variance can indicate health issues is vital. For instance, a temperature nearing 102°F might indicate fever or infection, prompting a need for further examination and treatment.

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