Question

Barry has been watching the geese that live in his neighborhood. The number of geese changes each week.


n f(n)
1 56
2 28
3 14
4 7


Which function best shows the relationship between n and f(n)?
f(n) = 28(0.5)n
f(n) = 56(0.5)n-1
f(n) = 56(0.5)n
f(n) = 112(0.5)n-1

Answer 1

the first one is 2

Answer 2

barry needs to get a life lol

Answer 3

haha

Answer 4

can you see how the geese keep getting halved everyday

Answer 5

its only one question so the answer is b?

Answer 6

yes its B

Answer 7

EXPLAIN

Answer 8

ok wait a sec

Answer 9

Doesn't have to be c?

Answer 10

yeah im leaning toward c
but im not sure yet

Answer 11

I am assuming that n-1 should actually be in brackets like (n-1) then when f(1) then you get 0 where if you use c then it comes out as 56

Answer 12

slade prolly got the answer from someone else
thats the only thing i can think

Answer 13

yes i should be in brackets so C is true

Answer 14

no it didnt have brackets so i got confused and picked the next one that i thout

Answer 15

$$
f(1)=56\\
f(2)=28=\cfrac{f(1)}{2}\\\\
f(3)=14=\cfrac{f(2)}{2}=\cfrac{f(1)}{2^2}\\
f(4)=7=\cfrac{f(3)}{2}=\cfrac{f(1)}{2^3}\\
\cdots\\
f(n)=\cfrac{f(1)}{2^{(n-1)}}=\cfrac{56}{2^{(n-1)}}=56\left(\cfrac{1}{2}\right)^{n-1}
$$
Does this make sense?