Question

When a local farmer opened his dairy company, he sold a gallon of milk for $1.39. Due to increased agricultural costs, the cost of a gallon of milk has increased by 1.6% per year since the start of his company. Which function represents the cost of a gallon of milk after t years of the company being in business?

M(t) = 1.39(0.016)t
M(t) = 1.39(0.984)t
M(t) = (1.39)(1.016)t
M(t) = 1.39(1.016)t

Slightly confused on this one. It's increasing so +1 or would it be +1.6, or none of the above?

Answer 1

1.6% is 0.016

1 + 0.016 = ?

Answer 2

the first one

Answer 3

1.016 @iGreen

Answer 4

@kah.x Don't give answers, plus your answer is incorrect.

Answer 5

Right, so that gives us \(M(t) = 1.39(1.016)^t\).

Answer 6

Okay. Thank you again @iGreen !

Answer 7

how am i incorrect lol

Answer 8

The answer was D @kah.x

Answer 9

It would be 1.016 in the parenthesis, not 0.016.

Answer 10

No problem, @haileyalexander Just tag me if you need more help.

Answer 11

ohhh, i get it now. bc its increasing so you have to times it by 1 + how much its increasing.

Answer 12

@iGreen my next problem is seemingly a little different from the others:

Jackson made an initial deposit of $900 to open a savings account. Each month, Jackson plans to deposit $45 into the account. If the savings account does not accrue interest, which of the following functions represents the amount of money in Jackson's savings account, S(x), x months after opening the account?

A. S(x) = $45x + $900

B. S(x) = $900x + $45

C. S(x) = $40,500x

D. S(x) = $45x

Answer 13

Yep, @kah.x but please try to guide people to the answer instead of giving it.

Answer 14

Maybe the way its worded creates an illusion but does it work the same way as the others?

Answer 15

This is easier than the others. :P

Which number is constant and which one increases over a period of time? @haileyalexander

Answer 16

Lol, constant is the $45 dollars and the one that would be increasing is the $900, correct?

Answer 17

Since he's making deposits of $45 each month I would assume $900 is the increasing number.

Answer 18

no, the 45 is the one that increases because he adds that much every month

Answer 19

Lol, no it's the other way around..900 is the cost to just open in. 45 is actually increasing..

Answer 20

*it

Answer 21

Therefore, we put a variable next to 45, and add 900 onto it, so what's gonna be our answer? @haileyalexander

Answer 22

so because the 45 is increasing each month that would be the one getting multiplied by the number of months, does that make sense?

Answer 23

S(x) = $45x + 900?

Answer 24

yup

Answer 25

Yep, you got it.

Answer 26

Where x = months.

Answer 27

Thank you once again guys. Sorry I'm kinda not understanding a little! lmao

Answer 28

Notice it tells you that it increases by $45 EVERY MONTH, then it tells you that \(x\) represents the # of months.

Answer 29

No, no, it's fine you're a great learner!

Answer 30

Lol, I'll close this question now. Thank you again guys. If I need anymore help (hopefully not) I'll open another question!