A factory bottles 375 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute. \( \frac{75 \text { bottles }}{1 \text { minute }} \) \( \frac{375 \text { botlles }}{5 \text { minutes }} \) \( 75: 1 \) \( \frac{75 \text { minutes }}{1 \text { bottle }} \)

To find the factory's **unit rate** of bottles per minute, you need to determine how many bottles are produced **per single minute**. Here's how you can calculate it: 1. **Total Bottles Produced:** 375 bottles 2. **Total Time:** 5 minutes **Unit Rate Calculation:** \[ \text{Unit Rate} = \frac{\text{Total Bottles}}{\text{Total Time}} = \frac{375 \text{ bottles}}{5 \text{ minutes}} = 75 \text{ bottles per minute} \] So, the factory's unit rate is **75 bottles per minute**. **Among the provided options:** 1. \( \frac{75 \text{ bottles}}{1 \text{ minute}} \) ✔️ **Correct** 2. \( \frac{375 \text{ bottles}}{5 \text{ minutes}} \) ❌ **Original Rate, Not Unit Rate** 3. \( 75 : 1 \) ✔️ **Equivalent to 75 bottles per 1 minute** 4. \( \frac{75 \text{ minutes}}{1 \text{ bottle}} \) ❌ **Incorrect Units** **Therefore, the correct unit rate is:** \[ \frac{75 \text{ bottles}}{1 \text{ minute}} \]