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

Solución

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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The Deep Dive

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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