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From the visible portion of the image, you are working on a math problem regarding data transmission over the internet. The equation provided relates the number of packets, \( p \), to the number of bytes, \( b \), with the equation \( b = 1500p \). Here's the problem you're referring to:

**Problem 4:**
- Each packet has 1,500 bytes of information.
- The equation \( b = 1500p \) relates the number of packets \( p \) to the number of bytes \( b \).
  
The question asks:
**a.** How many packets would be needed to transmit 30,000 bytes of information?

### Solution:
We are given \( b = 30,000 \) bytes and asked to find \( p \). Using the equation \( b = 1500p \), we can solve for \( p \):

\[
p = \frac{b}{1500} = \frac{30,000}{1500} = 20
\]

So, **20 packets** are needed to transmit 30,000 bytes of information.

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Would you like me to continue solving the remaining parts, or do you have any questions so far? Here are some related questions to deepen understanding:

1. What would happen if the packet size were doubled?
2. How many packets are needed to transmit 100,000 bytes of data?
3. If 40 packets are used, how many bytes of information are transmitted?
4. How would the equation change if each packet carried 2,000 bytes of data?
5. What is the impact of increasing the number of packets on data transmission time?

**Tip:** Always check the units (bytes, packets, etc.) when working with formulas, as mistakes often come from unit mismatches!

To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. The equation relating packets to bytes of information is given by b = 1500p, where p represents the number of packets and b represents the number of bytes of information. a. How many packets would be needed to transmit 30,000 bytes of information?

Learn how to calculate the number of packets needed to transmit 30,000 bytes of information using the equation b = 1500p. Understand how linear equations and proportionality apply to real-world data transmission problems. Suitable for middle school students (Grades 6-8).

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