When records were first kept (t=0), the population of a rural town was 260 people. During the following years, the population grew at a rate of P'(t) = 45(1+sqrt(t)).

a) what is the population after 15 years?
b) find the popuation P(t) at any time t > 0.

(a) The population after 15 years is 2678.

(b)Therefore the population P(t) at any time t>0 is

Step-by-step explanation:

Given that,

The population grew at a rate of

Integrating both sides

             [ c is integration constant]

When t=0 , P(0)= 260

Therefore the population P(t) at any time t>0 is

To find the population after 15 years, we need to plug t=15 in the above expression.

         ≈2678

The population after 15 years is 2678.

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation: