A colony of yeast cells is estimated to contain $10^6$ cells at time $t = 0\text{.}$ After collecting data in the lab, you decide that the population of cells after $t$ hours can be modeled by the function $$P(t) = 10^6e^{0.495105t}$$

1. How many cells should be present after $1$ hour? Round your answer to the nearest whole number of cells.
   Answer: cells
2. True or False: The population of cells will double after $1.4$ hours.
   Answer: ? True False
3. Your lab partner, Latania, looks at your notebook and says...Your equation is wrong. My calculations show that the population could be modeled by the equation:
   $$P(t) = 10^6(2.042727)^{0.693147t}$$
   Should you be worried by Latania’s comment?
   Answer: ? Yes, because her equation is different from yours. No, because your formulas are equivalent.