Question

help?

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

eww a bunch of work

Answer 3

ik lol

Answer 4

huh maybe ill attempt it lol

Answer 5

Thank You ive been working for a while on this with no luuck

Answer 6

brb gonna watch the game :)

Answer 7

Option 1:
Years 0 1 2 3
Amount 1000 1100 1200 1300

The amount increases by $100 each year. After n years it would have increased by 100*n dollars. So the amount A after n years will be:
A = 1000 + 100*n

and lol nice

Answer 8

For part A) Option 1 is linear because for each year the amount increases by the same amount of $100.
For option 2) it is non-linear (or exponential) because the difference in the amount between two successive years keeps increasing. The differences are: 100, 110, 121, etc.
So it is non-linear or exponential.

They just want you to answer what TYPE of function can describe options 1 and 2. They don't ask for the exact function. So you can say: option 1: linear (for the reason mentioned above) and option 2: exponential (for the reason mentioned above).

Answer 9

But they do ask the equations in part B).

Answer 10

For option 1) f(n) = 100n + 1000

Answer 11

We can make the assumption the interest is compounded annually for option 2 and use the compound interest formula and see if we can find an equation:. Here n = 1 (if compounded yearly) and so A = P(1+r)^t