I don’t understand the questions. May you please help?

Question

The size of a population of a hummingbirds over time can be modeled by the equation p==55(2)^t/3. How can the constant 55 be interpreted? If its time in months, how long does it take for the hummingbird population to double?

Answer 1

To interpret the 55, we need to take note that if t=0 then everything but the 55 vanishes. This indicates that the 55 is the initial population.

As for when the population doubles, we need to solve 110 = 55*2^(t/3). Divide both sides by 55 and simple observation shows t=3 will make this balance. ■