A bacteria culture starts with $2400$ bacteria and its population growth is modeled by $\qquad \large{P(t)=2400e^{0.03t}}$ where $P$ is the number of bacteria and $t$ is time in minutes. What is a formula for the rate of change of the bacteria population in terms of $t$? [[☃ expression 1]] To the nearest whole number, what is the rate of change in the population of the bacteria when $t=10$ minutes? [[☃ input-number 1]]$\,\frac{\text{bacteria}}{\text{minute}}$