Question

Someone give me the answer

Answer 1

a function that model the number of people that receives email in week t  is $P(t)=37(4)^{\frac{t}{9.1}}$ .

Step-by-step explanation:

Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:

Basically it's an exponential function as

$f(x) = e^{ax}$ , In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.

⇒ $P(t)=37(4)^t$

But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :

⇒ $P(t)=37(4)^{\frac{t}{9.1}}$

Therefore , a function that model the number of people that receives email in week t  is $P(t)=37(4)^{\frac{t}{9.1}}$ .