Question

HELP AGAIN

Answer 1

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) 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)

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 2

@AccessDenied @agent0smith @Hero @thomaster @ganeshie8 the best math helpers please

Answer 3

@across and @laura*

Answer 4

If the amount increases by the same number each year, then it is linear. If not, then you can assume that the situation is exponential and take it from there.

Answer 5

okay so option isnt linear it is exponential

Answer 6

Yes, Option A we can assume is exponential. Try to find a common ratio.

Answer 7

Option 1*

Answer 8

yes

Answer 9

Use the slope formula to find a common ratio

Answer 10

ok f(x) = 1100x + 10

Answer 11

??

Answer 12

Are you sure those numbers are correct as written?

Answer 13

hero im confused

Answer 14

I'm asking you to double check the numbers you posted for the original problem.

Answer 15

option 1 has 1100 then 1210 then 1331

Answer 16

option 2 has 1100 then 1200 then 1300

Answer 17

but if option increases by 110 then 121 then that is a geometric function right?

Answer 18

Apparently, we're supposed to assume it can be either linear or exponential

Answer 19

Option 1 isn't linear, so it must be exponential even though it doesn't have a common ratio.

Answer 20

Option 2 is definitely linear though. Maybe @agent0smith can provide some clarity on the matter.

Answer 21

@Hero well ok now i know that but how do I create a function for each one?

Answer 22

@agent0smith anything?

Answer 23

@wwhitlock @walpurgishacked @Washbucket @warmachine68 @Whitemonsterbunny17 @whpalmer4 @Erob @escapeshipshape @Embryo @esshotwired @e.mccormick @radar @Redneck_Jake @RagingSoulGoku @renton @rareexoticflower @rabbithunter96 @ThatGoodmanGuy @theEric @tinasanchez @Tyler1204

Answer 24

For the linear function, just treat it like as if you were finding a y=mx+b line

Answer 25

so f(x) = 1100x+100

Answer 26

@Hero

Answer 27

No that's not gonna work at all, use two points like (1, 1100) and (2, 1200)

Answer 28

how do find the rate of change of a slope-intercept form

Answer 29

m = (y2 - y1)/(x2 - x1)

Answer 30

omg ofc

Answer 31

and how do apply it into the slope intercept form

Answer 32

@Hero dont go

Answer 33

thx i need help determining the slope-intercept

Answer 34

y - y1 = m(x - x1)

Answer 35

oh snap your right

Answer 36

so it would be f(x)= 100x - 100

Answer 37

Try again...

Answer 38

f(x) = 100x + 1099 @agent0smith

Answer 39

@e.mccormick am i right and @Hero

Answer 40

Looks like math. I'm not gonna be of much help here. Carry on!

Answer 41

hehe

Answer 42

ive been on this for like half- an hour any help

Answer 43

good @agent0smith look is it right?

Answer 44

f(x) = 100x + 1099

Answer 45

Why +1099?

Answer 46

f(x) = 100x + 1000

Answer 47

f(x)=100x+1000

Answer 48

ohh crap sorry agent0smith didnt notice u already answered it nvm carry on lol