The population of a town P(t)is modelled by the function P(t)=6t+110t+3000, where t is time in years. Note t=0 represents the years 2000.

Suspect you mean

P(t) = 6 t^2 + 110 t + 3000

oh i'm sorry. i left out that part.. the question is

When will the population reach 6000?

P(t) = 6 t^2 + 110 t + 3000

oh, hang on

The question doesn't state wheater it's a max or min

it'as grade 11 math
no I have not done calculus

oh ok

6000 = 6 t^2 + 110 t + 3000

6 t^2 + 110 t = 3000

t^2 + 18.3 t - 500 = 0

t = [ -18.3 +/-sqrt(336+2000)]/2

t = [-18.3 + sqrt(2336)]2

t = [-18.3 + 48.3 ]/2

t = 15
so 2015

Thank you

Much Appreciated !! (Y):)

Honestly, although i appreciate this help

Is there any other way to do this problem. I think this is a little to advanced because i really don't understand it.

You can go Damon's way, or the graphing way/ comnpleting the square binomial way or you can go quadratic