The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. which function is correct for erin's purpose, and what is the new growth rate?

 function is correct for Erin's purpose and the new growth rate is 32%

Step-by-step explanation:

Growth rate function: --A

where r is the rate of growth

We are given that The function represents the growth of a dragonfly population every year in a remote swamp.

Now Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year

So, equation becomes:

Now on comparing with A

1.32=1+r

0.32=r

So, New growth rate = 0.32=32%

Hence  function is correct for Erin's purpose and the new growth rate is 32%

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step-by-step explanation:

the first option is the answer.