Question
11. On Satunday, the high temprature was \( 22^{\circ} \mathrm{C} \) and the low temprature was \( 15^{\circ} \mathrm{C} \). Which inequality represents the temprature, \( t \), in this situation? a) \( 15 \leq t \) or \( t \geq 22 \) b) \( 15 \leq t \leq 22 \) c) \( 15 \geq t \geq 22 \) d) \( 15 \geq t \) or \( t \leq 22 \)
Ask by Curry Lambert. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The temperature \( t \) on Saturday satisfies \( 15 \leq t \leq 22 \).
Solution
Given that the low temperature was \(15^{\circ}\mathrm{C}\) and the high temperature was \(22^{\circ}\mathrm{C}\), any temperature \(t\) on that day must satisfy the condition that it is at least \(15^{\circ}\mathrm{C}\) and at most \(22^{\circ}\mathrm{C}\).
To represent this range as an inequality, we write:
\[
15 \leq t \leq 22
\]
Therefore, the correct answer is option b.
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Simplify this solution Beyond the Answer
The correct inequality that represents the temperature \( t \) on that Saturday is \( 15 \leq t \leq 22 \). This indicates that the temperature was at least \( 15^{\circ} \mathrm{C} \) and did not exceed \( 22^{\circ} \mathrm{C} \). Understanding temperature ranges is vital in various fields, including agriculture and meteorology. Farmers depend on recorded temperature ranges to make informed decisions about planting and harvesting, while meteorologists use such data to predict weather patterns and alert the public to any potential climate issues.
