A population of seals is modeled by the equation Ps= P0 * 5^t/3, where t is measured in years.

Find a. The time required for the population to double in size

b. the percentage increase of the population during the first four years

Question

A population of seals is modeled by the equation Ps= P0 * 5^t/3, where t is measured in years. 

Find a. The time required for the population to double in size

b. the percentage increase of the population during the first four years

anonymous · Answer

You have.$$P_s(t)=P_0 \cdot 5^{t/3}$$To do part (a), you need to know the original population (hint, evaluate at $t=0$).  Then, double it, and set $P_s(t)$ to that doubled value, and find the $t$ value that satisfies that.  For part (b), percentage increase is given as follows.$$\text{Percent Increase}=\left(\frac{\text{new}-\text{original}}{\text{original}}\right)\cdot 100\%$$Plug in the original value where it says original, and $P_s(t)$ where it says new.  Does that make sense?

anonymous · Answer

Yes thank you.