Question

To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b = 1,500p 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?
b. How much information could be transmitted in 30,000 packets?
c. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits.

Answer 1

a. To find out how many packets would be needed to transmit 30,000 bytes of information, we can use the equation b = 1,500p, where b represents the number of bytes and p represents the number of packets

Answer 2

a. To find out how many packets would be needed to transmit 30,000 bytes of information, we can use the equation b = 1,500p. We want to solve for p when b = 30,000 bytes.

b = 1,500p
30,000 = 1,500p
p = 30,000 / 1,500
p = 20

Therefore, 20 packets would be needed to transmit 30,000 bytes of information.

b. To determine how much information could be transmitted in 30,000 packets, we rearrange the equation b = 1,500p to solve for the number of bytes.

b = 1,500p
b = 1,500 * 30,000 (since p = 30,000)
b = 45,000,000 bytes

So, 45,000,000 bytes of information could be transmitted in 30,000 packets.

c. If each byte contains 8 bits of information, we can relate the number of bits to the number of packets using the following equation:

bits = bytes * 8

Substituting in the previous equation b = 1,500p:

bits = (1,500p) * 8
bits = 12,000p

The equation representing the relationship between the number of packets and the number of

bits is bits = 12,000p.