16. A kitten's heartbeat can be as fast as 240 beats per minute. To find the number of times a kitten's heart beats in 30 seconds, Aiden says divide 240 by 30 . Do you agree with him? Why or why not?

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UpStudy AI · Accepted Answer

No, I do not agree with Aiden's approach. Here's why:

### Understanding the Units
- **Heartbeat Rate**: 240 beats per **minute** (bpm).
- **Time Interval**: 30 **seconds**.

### Aiden's Method
Aiden suggests dividing 240 by 30:
$$ \frac{240 \text{ beats}}{30} = 8 \text{ beats} $$
However, this calculation incorrectly mixes units:
- **240 beats** is per **minute**.
- **30** is in **seconds**.

Dividing beats per minute directly by seconds doesn't yield a meaningful result because the units are inconsistent.

### Correct Approach
1. **Convert the Time Interval to Minutes**:
   $$ 30 \text{ seconds} = \frac{30}{60} = 0.5 \text{ minutes} $$

2. **Calculate the Number of Beats**:
   $$ 240 \text{ beats/minute} \times 0.5 \text{ minutes} = 120 \text{ beats} $$

### Alternative Method
Alternatively, you can find the number of beats per second and then multiply by 30 seconds:
1. **Beats per Second**:
   $$ \frac{240 \text{ beats}}{60 \text{ seconds}} = 4 \text{ beats/second} $$

2. **Number of Beats in 30 Seconds**:
   $$ 4 \text{ beats/second} \times 30 \text{ seconds} = 120 \text{ beats} $$

### Conclusion
Aiden's division of 240 by 30 does not account for the difference in time units (minutes vs. seconds) and therefore provides an incorrect result. The correct number of heartbeats in 30 seconds is **120 beats**.
Aiden's method is incorrect because he divided the beats per minute by seconds without converting the time units. The correct approach is to convert 30 seconds to 0.5 minutes and multiply by 240 beats per minute, resulting in 120 beats in 30 seconds.

16. A kitten's heartbeat can be as fast as 240 beats per minute. To find the number of times a kitten's heart beats in 30 seconds, Aiden says divide 240 by 30 . Do you agree with him? Why or why not?

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