On the day that a certain celebrity proposes marriage, 10 people know about it. Each day afterward, the number of people who know triples. Write a function that gives the total number n(t) of people who know about the celebrity proposing days after the celebrity proposes.

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nengikim nengikim · Answer 1 · 2024-07-10T15:31:12-04:00

Answer:

Certainly! Here's a function that calculates the total number of people who know about the celebrity proposing, t days after the proposal:

n(t) = 10 * 3^t

where:

* t is the number of days after the proposal (integer)

* 10 is the initial number of people who know on the day of the proposal

* 3 represents the factor by which the number of people triples each day

This function captures the exponential growth pattern where the number of people knowing about the news increases threefold every day.