## anonymous one year ago I WILL MEDAL/FAN NO DIRECT ANSWERS :) 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)

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1. anonymous

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)

2. anonymous

you understand whats a linear and exponential functions?

3. anonymous

yes ma'am/sir :) @saseal

4. anonymous

linear functions increases by same magnitude each step because they run on straight slopes, exponential functions have curves and they dont run by the normal straight slope

5. anonymous

so you should know whats the answer for part A

6. anonymous

7. anonymous

so Part A: Option 1 is linear because it makes a straight line when it is graphed. Option 2, is exponential, because unlike option 1, it does not make a straight line.

8. anonymous

ill hand you the compound interest formula $A=P(1+\frac{ r }{ 100 })^n$A=amount accumulated, P=principal amount, r=interest rate, n = number of years

9. anonymous

yea

10. anonymous

the simple interest one you can just make a line equation to figure it out

11. anonymous

option 1 is not linear. option 2 is linear

12. anonymous

option 2 increases by 100 each year

13. anonymous

option 2 goes like 1000->1000+100->1000+100+100

14. anonymous

option 1 is 1000->1000*1.1->1000*1.1^2 ->1000*1.1^3

15. anonymous

once you have squares and cubes its not linear anymore

16. anonymous

i need to sleep now so good luck, you should be able to figure it out with all these information

17. anonymous

18. anonymous

@freckles @Australopithecus

19. anonymous

@acxbox22

20. anonymous

@dan815