Question

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


Number of years 1 2 3
Option 1 (amount in dollars) 1300 1690 2197
Option 2 (amount in dollars) 1300 1600 1900


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

@perl

Answer 2

@perl you there

Answer 3

ill be right back

Answer 4

ok

Answer 5

alright im back

Answer 6

@PERL

Answer 7

Number of years 1 2 3
Option 1 (amount in dollars) 1300, 1690, 2197
Option 2 (amount in dollars) 1300, 1600, 1900

Answer 8

option 1 is exponential because it changes by a factor of 1.3 each year
option 2 is linear because it increases by a fixed amount each year, here 300 .

Answer 9

hmmm

Answer 10

does that describe this ... or is there another step?
"describe the value of the investment after a fixed number of years"

Answer 11

oh nvm i get it

Answer 12

but what about part B @perl

Answer 13

if that was part b then part a i need

Answer 14

part b) is to find the linear and exponential functions

Answer 15

how would i solve that

Answer 16

@perl

Answer 17

@perl how do i solve part b for this

Answer 18

@ganeshie8

Answer 19

@wio

Answer 20

ok

Answer 21

for part b)

Option 1:
Directions: Fit data to exponential model f(n) = a * b^n
if you divide 1300 by 1.3 , you will get 1000. Therefore
n=0 , f(0) = 1000
so the exponential function is
f(n) = 1000 * (1.3)^n

Option 2:
Directions: Fit data to a linear model f(n) = m*n + b
if you calculate slope you get m = 300
and subtract 300 to get
n=0, f(0) = 1000
So the linear model is
f(n) = 300*n + 1000

Answer 22

ok, i know its against the rules but since its 12:05 am for me im kind of going to need you to explain while giving the answer because i have to go to bed soon.

Answer 23

@perl

Answer 24

@ganeshie8

Answer 25

@ganeshie8

Answer 26

@wio

Answer 27

@DanJS

Answer 28

@DanJS do you know this stuff

Answer 29

yeah,

Answer 30

pearl did it

Answer 31

can you give me the answer i have to go plus ill repost this because its not posted correctly

Answer 32

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


Number of years 1 2 3
Option 1 (amount in dollars) 1300 1690 2197
Option 2 (amount in dollars) 1300 1600 1900


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)

Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points)

Answer 33

there

Answer 34

option 1:

y(x) = A*b^x use 2 points to find, A and b

Answer 35

(0,1000) gives

y(0) = 1000 = A*b^0
1000 = A

The function is now

y(x) = 1000 *b^x

Answer 36

(1 , 1300) second point

y(1) = 1300 = 1000*b^1
1300 = 1000b b=1.3

The function is

y(x) = 1000*(1.3)^x

Answer 37

The second is a line

Answer 38

ok which part is that

Answer 39

I just did option 1,

Answer 40

option 2 is a line, starts at y intercept of 1000 investment, and slope of 300 dollars per year

y(x) = 300x + 1000

Answer 41

pearl already did all this , i just scrolled up there

Answer 42

Graph those 2 functions, and describe what you see

Answer 43

first question? what part did you do theres 3 parts second question perl start it but can you give me all the answers because i have to go its 12:30 am?

Answer 44

option1
y(x) = 1000*(1.3)^x

option2
y(x) = 300x + 1000

Graph them, and describe what you see.

Answer 45

i dont have graph :/

Answer 46

part c, look at x=20, and go straight up, which one has a larger y value, it will be the exponential option 1.

Answer 47

desmos.com

Answer 48

dan815

Answer 49

@dan815

Answer 50

@Nnesha

Answer 51

ok im sorry but i really dont have time for this i need someone who can give me the answer now for part a part b and part c because its almost 1 A.M. and i have to go to bed...

Answer 52

@Abhisar

Answer 53

zepdrix

Answer 54

@zepdrix

Answer 55

@sammixboo

Answer 56

@sammixboo

Answer 57

@perl

Answer 58

@pooja195

Answer 59

i really dont have time for this i need someone who can give me the answer now for part a part b and part c because its almost 1 A.M. and i have to go to bed...

Answer 60

@blurbendy

Answer 61

@bibby

Answer 62

@ShadowLegendX

Answer 63

@sammixboo

Answer 64

@Nnesha

Answer 65

@wio

Answer 66

@dan815

Answer 67

@ganeshie8

Answer 68

@Hero

Answer 69

@nincompoop