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.
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
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.
f(t) = 3(2)^t
so f(6) = 3(2^6) = 192
at least that way one of the answers will fit.
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.