Question

http://prntscr.com/a3d3hl

Answer 1

@RhondaSommer :)

Answer 2

im not prepared to give you such a long answer. Youve asked this question like 20 times bro

Answer 3

okay fine. what do you know so far

Answer 4

Umm... Is the y-intercept 500$?

Answer 5

@RhondaSommer You coming back?

Answer 6

yes it is.

Answer 7

im really sorry...I am about to pass out. im super sick... and i just threw up all over my bed...ewww...

Answer 8

What the...

Answer 9

...i have to go...

Answer 10

What part of the question don't you understand? Can you be more specific so we can help you

Answer 11

Why is the y-intercept 500$ and is this a function why or why not?

Answer 12

@Jim_thompson5910

Answer 13

`Why is the y-intercept 500$`
because this is the starting amount of money deposited. The y intercept is the value of y when x = 0. Zero is a common starting point for many functions since it's very easy to work with and it's naturally a good starting point

Answer 14

btw it's better to say $500 instead of 500$

just based on convention

Answer 15

So Is the relation linear? If so, state the rate of change and write the equation of the relation, where x is the number of months and y is the amount in the account. If not, explain why not.

Answer 16

I suggest filling out the table and then using the table to plot the points. If the points form a straight line, then you have a linear equation. If not, then it's nonlinear

Answer 17

How is this a function?

Answer 18

It is a function because you can plug in any whole number for x and get some real number out. For any input, there is EXACTLY ONE output

example: if x = 0 then y = 500
0 is the input
500 is the output

so you can ask questions like "what is the amount in the account at 0 months?" the answer would be "500 dollars"

IF there was a case where an input leads to multiple outputs, you wouldn't know what's in the account. So in this strange case, you wouldn't have a function

Answer 19

@Jim_thompson5910 uhh how do I fill in the boxes?

Answer 20

what is 1.8% of 500?

Answer 21

9?

Answer 22

yep, so Annie earns $9 in interest for the first month

this amount is added to 500 to get 500+9=509

the number that goes in the box next to 500 is 509

Answer 23

x = 0 ---> y = 500
month 0 has balance of $500

x = 1 ---> y = 509
month 1 has balance of $509

Answer 24

step 1) take 1.8% of the current balance
step 2) add the result from step 1 to the current balance to get the new balance

Answer 25

you repeat these steps over and over to fill out the boxes

Answer 26

So 1.8% of 509?

Answer 27

Do you ignore the decimal?

Answer 28

what is 1.8% of 509 ?

Answer 29

9.162

Answer 30

keep in mind that 1.8% = 0.018

Answer 31

So you put $518.162 in the box?

Answer 32

1.8% of 509 = 0.018*509 = ???

Answer 33

9.162

Answer 34

good, then you add that to 509 to get 518.162

Answer 35

now round that down to the nearest cent

Answer 36

518.2?

Answer 37

518.162 would round to 518.16

Answer 38

cents ---> 2 decimal places

Answer 39

Your round 1?

Answer 40

what do you mean?

Answer 41

You round 518.1 <----

Answer 42

when you round to the nearest cent, you are rounding to 2 decimal places

Answer 43

so 518.16 goes in the box next to 509

so far you should have

500, 509, 518.16

in the first three boxes in the bottom row

Answer 44

Are the next ones 527.32 and 536.49?

Answer 45

527.32 is a bit too low

Answer 46

527.34?

Answer 47

I'm getting 518.16*1.018 = 527.48688 which rounds to 527.48

Answer 48

keep in mind that the bank is always rounding down to the nearest penny to save money

Answer 49

How do I find the rate of change or slope?

Answer 50

the slope only applies for linear equations

first finish up the table and then plot the points

do you get a straight line going through ALL the points?

Answer 51

Wait

Answer 52

where are you stuck?

Answer 53

I'm getting my pencil.

Answer 54

ok

Answer 55

How do you do that?

Answer 56

do what exactly?

Answer 57

plot the points?

Answer 58

Yeah

Answer 59

do you have graph paper with you?

Answer 60

Yes

Answer 61

ok so first draw an xy axis

then label the axis

the x axis will have 0, 1, 2, 3, 4, etc
the y axis will have 100, 200, 300, 400, 500, 600, 700, etc

let me know when you've set up your axis

Answer 62

I have it set up

Answer 63

ok so the first column has 0 and 500 in it

that means x = 0 and y = 500

so the first point we plot is (0,500)

do you know how to plot this point?

Answer 64

Yeah

Answer 65

ok then the next point would be \(\Large (\color{red}{1},\color{blue}{509})\) because this corresponds to month \(\LARGE \color{red}{1}\) having a balance of \(\LARGE \color{blue}{509} \) dollars

Answer 66

Move on.

Answer 67

then (2, 518.16) is the next point after that

Answer 68

each column of the table represents a point

x on top
y on the bottom

Answer 69

Okay

Answer 70

So..

Answer 71

one moment

Answer 72

ok so graphing is probably going to take too long because we need a lot of points (more than what we have already)

do you know the slope formula?

Answer 73

@xapproachesinfinity

Answer 74

@kropot72