## anonymous one year ago 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

1. anonymous

the first one is 2

2. dan815

barry needs to get a life lol

3. anonymous

haha

4. dan815

can you see how the geese keep getting halved everyday

5. anonymous

its only one question so the answer is b?

6. anonymous

yes its B

7. anonymous

EXPLAIN

8. anonymous

ok wait a sec

9. taramgrant0543664

Doesn't have to be c?

10. anonymous

yeah im leaning toward c but im not sure yet

11. taramgrant0543664

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

12. anonymous

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

13. anonymous

yes i should be in brackets so C is true

14. anonymous

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

15. ybarrap

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