Question

Jesse sent an email to 4 people for a school project. In her email, she requested that each person copy and send the same email to 4 additional people.If everyone continues to send the email as requested, which equation could be used to determine the number of emails, y, that will be sent for a given round, x?

M. y = x^4
P. y = 4^X
R. y = 4x
S. y = 4/X

Answer 1

The equation could be used to determine the number of emails, y, that will be sent for a given round, x, is:

• P. y = 4^X

Explanation:

To obtain the equation you must know how many emails will be sent in each case, taking into account that Jesse requested that each person copy and send the same email to 4 additional people, then:

• First round: Jesse's emails = 4
• Second round = 16 = 4*4
• Third round = 64 = 16*4
• Fourth round = 256 = 64*4

How you can see, each round is the same that to multiply the last sent emails by four, so, with the equation selected in the answer we can obtain these results:

• y = 4^X

In the first round:

• y = 4^(1)
• y = 4

In the second round:

• y = 4^(2)
• y = 16

In the third round:

• y = 4^(3)
• y = 64

And, in the fourth round:

• y = 4^(4)
• y = 256

By this reason, the equation y = 4^X is the correct answer.