Question

A population grows according to an exponential growth model. the initial population is po = 19 and the growth rate is r = 0.4.then find an explicit formula for pn then use the formula to find p11

Answer 1

The question involves the use of the exponential growth formula. Given P0 = 19 and r = 0.4, the exponential growth formula is Pn = 19 * e ^(0.4t). P11, or the population after 11 time periods, can be found by substituting t = 11 into the formula.

Step-by-step explanation:

The given question deals with exponential growth, a concept in mathematics. The explicit formula for exponential growth is given by Pn = P0 * e ^(rt), where Pn is the future population size, P0 is the initial population size, r = growth rate, t = time, and e is the base of the natural logarithm.

Here, the initial population P0 is given as 19, and the growth rate r is 0.4. Plugging these values into the formula, we get Pn = 19 * e^(0.4t).

To find P11 (the population after 11 time periods), you substitute t = 11 into the formula. Hence, P11 = 19 * e^(0.4 * 11).

Learn more about Exponential Growth