The given equation is \( w(t) = 5,000(1.13)^t \).
This represents exponential growth since the base of the exponent (1.13) is greater than 1. As \( t \) increases, the term \( (1.13)^t \) grows larger, which means the number of wasps \( w \) increases over time.
Typically, in an exponential growth scenario, the quantity starts increasing slowly (for small values of \( t \)) but then starts increasing more rapidly as time goes on because the model is multiplicative.
Therefore, the correct statement is:
As t increases, w increases slowly at first and then quickly.