Question: When the World Wide Web first became popular in the 1990s, download speeds reached a maximum of about $56$ kilobits per second.
Approximately how many minutes would the download of a $16$-megabyte song have taken at that speed? (Note that there are $8000$ kilobits in a megabyte.) (Adapted from $2022$ AMC $8$ Problems, Question #$7$)
1. **State the problem:** We want to find how many minutes it takes to download a $16$-megabyte song at a speed of $56$ kilobits per second, given that $1$ megabyte equals $8000$ kilobits.
2. **Calculate the total size in kilobits:**
$$16 \text{ megabytes} \times 8000 \frac{\text{kilobits}}{\text{megabyte}} = 128000 \text{ kilobits}$$
3. **Calculate the time in seconds to download:**
$$\text{time} = \frac{\text{total kilobits}}{\text{speed in kilobits per second}} = \frac{128000}{56}$$
4. **Simplify the fraction:**
$$\frac{128000}{56} = \frac{\cancel{128000}}{\cancel{56}} = \frac{128000 \div 8}{56 \div 8} = \frac{16000}{7} \approx 2285.71 \text{ seconds}$$
5. **Convert seconds to minutes:**
$$\frac{2285.71}{60} \approx 38.1 \text{ minutes}$$
6. **Conclusion:** The download would take approximately $38$ minutes.
**Answer: C 38**