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 easiest way to check is with n=1 first, then confirm that ur answer holds true for the other values of n
so first try:
\( \large f(n) = 28(0.5)^n\)
for n=1
\( \large f(n) = 28(0.5)^1\)
\( \large f(n) = 28 \times 0.5 = 14 ....\)
f(n) for n = 1 is supposed to equal 56... so A is not ur answer... now u try with B

Answer 2

just put the value of n and put the value of f(n) in each equation.

Answer 3

so @geekfromthefutur how did u go with option B... did it work or did u move on to C...?

Answer 4

it had worked

Answer 5

sweet, then B is ur answer... but still confirm with n=2 to make sure, yeah?

Answer 6

yea :3 thx @Jack1

Answer 7

no worries ;)