An investment of $2000 in a bank account doubles every five years. the function that models the growth of this investment is f(x)=2000•2^x, where x is the number of doubling periods, or 10 years?

Aresearcher believes increased perceived control influence the well-being of residents at a nursing home. to test this , she allowed one group of residents to have control over their daily lies, (where to eat etc) . the other group of 5 residents had these deceisions made by staff. the resident's feelings of well-being were measured on a 10 point scale at the end of a one month trial period. is there a difference on well-being?