A study of the annual population of toads in a county park shows the population, $S(t)$, can be represented by the function $S(t)=152(1.045)^{t}$, where the $t$ represents the number of years since the study started. Based on the function, what is the growth rate?
152 $\times \%$
Answer
Final Answer: The growth rate is approximately \(\boxed{4.5\%}\).
Step 1 ：A study of the annual population of toads in a county park shows the population, \(S(t)\), can be represented by the function \(S(t)=152(1.045)^{t}\), where the \(t\) represents the number of years since the study started.
Step 2 ：Based on the function, the growth rate is represented by the base of the exponent in the function, which is 1.045.
Step 3 ：This means the growth rate is 4.5% per year.
Step 4 ：The growth rate calculated is approximately 4.5%, which is consistent with our initial thought.
Step 5 ：Final Answer: The growth rate is approximately \(\boxed{4.5\%}\).
