Question

4

Answer 1

@ramen @carmelle

Answer 2

i will let darkknight do this one

Answer 3

The coefficient term in an exponent represents the starting value, since f(n) = 24 when n=1, the function has to have 24 in the coefficient term. So we can eliminate options A and D

Answer 4

Now from here, we see that f(n) is getting cut in half everytime we go from 1 to 2 to 3...
right?
We see F(n) go from 24 to 12 to 6...
So basically we can say that our base is 1/2

Answer 5

would my answer be c then?

Answer 6

@darkknight are you done?

Answer 7

Anyways, why did you say that c is correct?

Answer 8

because it seemed to be the best result

Answer 9

or am i wrong?

Answer 10

The answer is C you are correct.

Answer 11

The only thing you need to understand now is why it is n-1 and not just n.

Answer 12

... thats not how math works, but you are correct.
So since the initial value given to us in the table is 24, when n=1. We have to have the function 24(.5)^(x-1) because at x=1 is when the value = 24. So if we plug in 1 to that equation (the one on c) we will end up with an output of 24, and if you plug in other numbers for x, such as 2, 3, 4, you will end up getting 12, 6, 3... respectively

Answer 13

Agreed Good job darkknight

Answer 14

\(\color{#0cbb34}{\text{Originally Posted by}}\) @darkknight
... thats not how math works, but you are correct.
So since the initial value given to us in the table is 24, when n=1. We have to have the function 24(.5)^(x-1) because at x=1 is when the value = 24. So if we plug in 1 to that equation (the one on c) we will end up with an output of 24, and if you plug in other numbers for x, such as 2, 3, 4, you will end up getting 12, 6, 3... respectively
\(\color{#0cbb34}{\text{End of Quote}}\)
okay