What is the value of $p$ in terms of $Q$?

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The equation

N (m) = 65 (Q)^{\frac{m}{4}}

gives the predicted population in thousands, of a certain bacteria colony

m

minutes after the initial measurement, where

Q

is a constant greater than

1

. The predicted population increases by

p %

every

120

seconds.

What is the value of

p

in terms of

Q

100 (Q^{\frac{1}{2}} + 1)

100 (Q^{30} + 1)

100 (Q^{\frac{1}{2}} - 1)

100 (Q^{30} - 1)