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Mandarinka [93]
4 years ago
5

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

he 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).
Mathematics
2 answers:
PSYCHO15rus [73]4 years ago
7 0

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.

 

emmasim [6.3K]4 years ago
3 0

Answer:

Step-by-step explanation:

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