Question

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive the email increases by a factor of 444 every 9.19.19, point, 1 weeks, and can be modeled by a function, PPP, which depends on the amount of time, t (in weeks).

Answer 1

Answer:

$P(t)=a\cdot 4^{\frac{t}{9.1}}$, where a is initial value.

Step-by-step explanation:

We have been given that Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive the email increases by a factor of 4 every 9.1 weeks. We are supposed to write the function to represent the given scenario.

Our function will be in form of $P(t)=a\cdot b^{f(t)}$, where,

a = Initial value,

b = Factor of increase,

$f(t)$ = Linear function to determine the time.

Since number of people receiving email increase every 9.1 weeks, that is 1 people is 9.1 weeks, so slope of the increase would be $\frac{1}{9.1}$.

Increase in number of people in t weeks would be $\frac{1}{9.1}(t)=\frac{t}{9.1}$.

Upon substituting our given values in growth function, we will get:

$P(t)=a\cdot 4^{\frac{t}{9.1}}$

Therefore, our required function would be $P(t)=a\cdot 4^{\frac{t}{9.1}}$, where a is initial value.

 

Answer 2

Answer:

Step-by-step explanation: