Answer:
[tex]P(6) = 10(1.4)^{6} = 75.2[/tex]
Step-by-step explanation:
The number of people who receive the email after t weeks can be modeled by the following equation.
[tex]P(t) = P(0)r^{t}[/tex]
In which P(0) is the initial number of poeple who received the email and r is the factor.
Karim sent a chain email to 10 of his friends.
This means that [tex]P(0) = 10[/tex]
The number of people who got the email increases by a factor of 1.4 every week.
This means that [tex]r = 1.4[/tex]
So
[tex]P(t) = 10(1.4)^{t}[/tex]
Which expression gives the number of people who got the email after 6 weeks?
[tex]P(6) = 10(1.4)^{6} = 75.2[/tex]