Lisa sends an email to five friends. The next day, each of Lisa's friends forwards the email to five more people. The (mathematical) process continues for a few days. Which function represents the number of people who will receive the email on the nth day?

A) cn = 5n

B) cn = 5n

C) cn = n + 5

D) cn = n5 + 5

Respuesta :

Answer:

cn=5^n

Step-by-step explanation:

Because every day five times the number of people that have it get the email. So on the first day it's 5, the second 25, the third 125, the fourth 625, so on and so fourth.

The function that tells about the number of people who will receive the email on nth day is 5ⁿ.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As Lisa sends the email to five of her friend on the first day, while her friends send the email to 5 more people, therefore, the number of people that will have the email will be 25(5×5). Similarly, those 25 people will forwards the email to 5 more people, therefore, a total of 125 people(5×5×5) will have the email now.

Therefore, we can write the function for the number of people that will have the email on any day as,

f(n)=5ⁿ

Thus, the function that tells about the number of people who will receive the email on nth day is 5ⁿ.

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