Astudy is done on the population of a certain fish species in a lake. suppose that the population size p(t) after t years is given by the following exponential function. p(t)=280(1.29)^t
find the initial population size?
does the function represent growth or decay?
by what percentage does the population change each year?

Step-by-step explanation:

Equation to calculate population size after time, t

P(t) = 280(1.29)^t

P(0) = 280(1.29)^0

       = 280(1)

       = 280

P(1) = 280(1.29)^1

      = 280(1.29)

      = 361.2

Its means that after a year population increases. Hence, function represent growth.

(361.2 - 280 / 280) * 100%

 = 29 %

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1