Question

Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people per year is represented by the function f(t) = 3(2)t. What does the t represent? How many people were recruited in year 6?
t represents the year number; 36 people were recruited in year 6.

t represents the year number; 192 people were recruited in year 6.

t represents the number of people; 192 people were recruited in year 6.

t represents the number of people; 36 people were recruited in year 6.

Answer 1

A function assigns the values. The number of people that were recruited in year 6 is 192.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of people per year is represented by the function $f(t)=3(2)^t$.

In the given function, t represents the number of years.

Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

$f(t)=3(2)^t$

f(6) = 3(2)⁶

     = 3(64)

     = 192

Hence, the number of people that were recruited in year 6 is 192.

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