The function f(x) = 2(3)^x represents the growth of a dragonfly population every year in a remote swamp. rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. which function is correct for rose's purpose, and what is the new growth rate?

and growth rate is 17%.

Step-by-step explanation:

The general exponential growth function is

         ...... (1)

where, a is initial value, r is growth rate and x is time.

The given function is

Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year.

Using the properties of exponents the given function can be written as

It can be rewritten as

         .... (2)

On comparing (1) and (2) we get

r=0.17

Therefore, the required function is and growth rate is 17%.

To find a square root you kinda have to know your numbers.

A square root are the two same numbers multiplied to make another number.

Take 81 for example. The square root of 81 is 9 because 9*9=81

Same with 64, 8*8=64

-Seth