Question

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?

Answer 1

So the zeroth week in the recursion would be 250 bottles, what happens after that?

Answer 2

well each week 48 new bottles would come in and 40% would be taken away. These are the answers to choose from:
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

Answer 3

I feel that I understand it but at the same time I don't...? If that makes sense

Answer 4

I feel the same way haha. I am trying to wrap my head around what the right answer is before I try to walk you through it.

Answer 5

Would it cancel out B and D?

Answer 6

Well there are two says to look at this
You have f(0) = 250
and f(1) can either equal to 250-250*40+48 In this form you have your initial and are getting rid of your 40 % sold and adding 48
or f(1) = 250 * .6 + 48 In this form you are keeping the 60 % not sold and adding 48
So my previous statement was wrong about getting rid of two (sorry).

Answer 7

So because you want this to go on for more than one week yes it would get rid of B and D (sorry again).

Answer 8

Since its going by 40% would it have to be C?

Answer 9

Yes it would be.

Answer 10

Okay thank you so much!

Answer 11

Your welcome!

Answer 12

C was not the correct answer