Question

Belinda wants to invest $1000. The table below shows the value of her investment under two different options for three different years:


Number of years 1 2 3
Option 1 (amount in dollars) 1100 1210 1331
Option 2 (amount in dollars) 1100 1200 1300


Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points)

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)

Answer 1

do you know how to do it

Answer 2

@misssunshinexxoxo

Answer 3

@amoodarya

Answer 4

@welshfella

Answer 5

can you help me

Answer 6

i gotta go sorry
Option 2 is linear

Answer 7

ok thanks

Answer 8

can some one help me

Answer 9

@Tinkerbell2001

Answer 10

do you know how to do this @Tinkerbell2001

Answer 11

option 1 is exponential

Answer 12

if you graph it the line will curve up slightly

Answer 13

ok so what would the functions look like

Answer 14

that's what option 1 would look like

Answer 15

thats what 2 would look like

Answer 16

ok cool but its says for put together a function and write it out do i just put those graphs as it

Answer 17

you need to find the equation for the lines

Answer 18

idk that part thats what i was trying to ask you about

Answer 19

ok lets find the equation for option 2 first

Answer 20

ok

Answer 21

it will be in the form y=mx+b

Answer 22

are you familiar with this?

Answer 23

yes

Answer 24

ok, try and solve it

Answer 25

so it will look like
y=1000x+1100

Answer 26

yo @10115658

Answer 27

sorry i was afk

Answer 28

that isn't correct

Answer 29

how do you find the slope?

Answer 30

pick 2 points

Answer 31

lets pick (1,1100) and (2,1200)

Answer 32

slope is y2-y1/x2-x1

Answer 33

(1200-1100)/(2-1)

Answer 34

the slope is 100

Answer 35

now lets find the y-intercept

Answer 36

y=100x+b

Answer 37

plug in one of the points for x and y

Answer 38

1100=100+b

Answer 39

now solve for b

Answer 40

b=1000

Answer 41

ok, so now we have our equation
y=100x+1000

Answer 42

now they want it in terms of f(n) and n so we rewrite it as
f(n)=100n+1000

Answer 43

that's the answer for option 2

Answer 44

does that make sense?

Answer 45

you there?

Answer 46

yeah im here sorry