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Emily writes a chain email and sends it to five friends. If each person who receives the email reads it within 5 minutes of the email arriving and then sends it to five other people, how many people (including Emily) will have read the email 15 minutes after Emily first sent it?

Respuesta :

blitzangel
At least 181 people will have read the email

Using an exponential function, it is found that 626 people will have read the email 15 minutes after Emily first sent it.

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

  • a is the initial value.
  • b is the rate of change.

In this problem, considering the initially Emily send the e-mail to each people, and each person sends to five more people after 5 minutes, the equation that models the situation is given as follows:

[tex]y(t) = 5(5)^{\frac{t}{5}}[/tex]

Hence, after 15 minutes, we have that:

[tex]y(15) = 5(5)^{\frac{15}{3}} = 5^4 = 625[/tex]

Adding Emily, 626 people will have read the email 15 minutes after Emily first sent it.

More can be learned about exponential functions at https://brainly.com/question/25537936

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