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) 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. part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.

Question

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)	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. part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.

hanna1 · Answer

Part A- Option 1 is exponential and increases 130% per year. Option 2 increases $300 per year and it's linear. 

Part B- f(n)=1000+300n option 2
f(n)=1000(1.30)^n option 1