Simone is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time $t$, in years, since Simone started studying the population, and the number of tigers, $N_{\text{year}}(t)$, is modeled by the following function: ###$N_{\text{year}}(t)=612\cdot \left(\dfrac{2}{3}\right)\^{\Large t}$ **Complete the following sentence about the *monthly* rate of change in the tiger population.** *Round your answer to two decimal places.* Every ***month***, the number of tigers decays by a factor of [[☃ math-keypad 1]].