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
is it b
F(t) = 6 t ?
t is time or year
F(6) = 6 * 6 = 36
Could you have a typo? Do you mean something else by 3(2)
maybe 3^2 which is 9 but that would give 54 which is not a choice.
I think Oscar meant
f(t) = 3(2)^t
so f(6) = 3(2^6) = 192
at least that way one of the answers will fit.
No, it is not option b. Option b states that 192 people were recruited in year 6, but this is incorrect. The correct answer is option a: t represents the year number and 36 people were recruited in year 6.
No, it is not option b. Let's break down the problem to understand what the t represents and how many people were recruited in year 6.
The function given is f(t) = 3(2)^t, where t represents the year number and f(t) represents the number of people recruited in that year.
In this case, the base of the exponent is 2, which means that the number of people recruited doubles every year. The coefficient 3 represents the initial number of people recruited in the first year. Therefore, the function f(t) = 3(2)^t calculates the number of people recruited in a given year t.
Now, to find out how many people were recruited in year 6, you need to substitute t = 6 into the function:
f(6) = 3(2)^6
f(6) = 3(64)
f(6) = 192
Therefore, 192 people were recruited in year 6. So, the correct answer is option c.