Question

Just Part C

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

option 2 is linear.. it just adds $100 per year

Option 1 is exponential. it adds 10% each year

Option 1

f(n) = 1000(1 + 10/100)^n

option 2

f(n) = 100n + 1000

hope it helps

Answer 3

It does thank you!

Answer 4

can u help me with part c though?

Answer 5

well for par c just use the equations from part b and let n = 20 to see which is worth more.

Answer 6

its no right?

Answer 7

@geerky42 plz help with part c...

Answer 8

did you try to plug in n = 20 and see if there is any difference?

Answer 9

f(20)=110(20)+1000
f(20)=1000(1+100/100)^20
do i solve these?

Answer 10

yeah

Answer 11

then what?

Answer 12

actually, second one is supposed to be f(20)=1000(1+10/100)^20

Answer 13

well, did you solve these? do you see the big difference?

Answer 14

equation 1 is 3200

Answer 15

and ill redo the second one

Answer 16

sorry, I checked too fast. first one is supposed to be 100(20)+1000

Answer 17

so what did you get for first and second equation?

Answer 18

wait what are the two equations again i just got confused...
are they \[f(20)=110(20)+1000\] for the first one and for the second one\[f(20)=1000(\frac{ 1+10 }{ 100 })^{20}\]

Answer 19

First: \[\Large f(20) = 100(20)+1000\]
Second: \[\Large f(20) = 1000\left(1+\dfrac{10}{100}\right)^{20}\]

Answer 20

ok ok thank you give me a sec to solve (im a bit slow... xD)

Answer 21

first one:
3000
Second one:
\[\frac{ 672749994932560009201 }{ 100000000000000000 }\]

Answer 22

long number -_-

Answer 23

that's right. for second one, you can convert it to decimal; 6727.499949...

Answer 24

and the second one is a lot longer and a hge difference there

Answer 25

and ok

Answer 26

its more than double

Answer 27

So what did you notice about the difference between first one and second one?

Answer 28

its a bigger number, and shell get a much bigger nvestment number using option 2

Answer 29

right. that's something you can write down for part C. :)

Answer 30

oh ok thank you so much u saved meee

Answer 31

You're welcome