Question

Medal for best Answer!!!!

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)? (1 point)


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

You want to know what is the relationship between the n values and the f function

Answer 2

I think its either the B or C

Answer 3

By looking at the answers, since the is multiples of 0.5, it tells you you have to divide.

Answer 4

0.5 is just 1/2

Answer 5

Okay whats the differnece between B and C?

Answer 6

So whats the answer?

Answer 7

Well you have to divide each by 2

Answer 8

So 56/2=?

Answer 9

28!

Answer 10

28/2=? 14!

Answer 11

28

Answer 12

Since each divides evenly by 1/2

Answer 13

Are u sure?

Answer 14

so what i just told you tells you that each one is 0.5

Answer 15

but the initial value is 56

Answer 16

You have to test the points.

Answer 17

if you plug in n=1 into B it gives you the correct answer. Sorry.

Answer 18

Its B

Answer 19

Okaycan u help me with one more?

Answer 20

Yesh

Answer 21

Jake has proved that a function, f(x), is a geometric sequence. How did he prove that? (1 point)


He showed that an explicit formula could be created.

He showed that a recursive formula could be created.

He showed that f(n) ÷ f(n − 1) was a constant ratio.

He showed that f(n) − f(n − 1) was a constant difference.



Im pretty sure its the 3rd one but just want to make sure

Answer 22

Am I right its the 3rd one?

Answer 23

an = ar(n – 1)

Answer 24

3rd one?

Answer 25

Yes it is the third

Answer 26

since ar=ar^2 so ar^2/ar=r

Answer 27

Okay I have one more question that can u check if I got it right?

Answer 28

constant ratio of r

Answer 29

yesh

Answer 30

A store had 250 bottles of water. Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments. Which recursive function best represents the number of bottles of water in the store, given that f(0) = 250?


f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0

f(n) = 250 − f(n − 1) ⋅ 0.4 + 48, n > 0

f(n) = f(n − 1) ⋅ 0.4 + 48, n > 0

f(n) = 250 − f(n − 1) ⋅ 0.6 + 48, n > 0



My answer is D.

Answer 31

Yes D makes sense

Answer 32

Okay thank you

Answer 33

But why would it not be B

Answer 34

.6 would suggest that 60% of the bottles are being sold.