SOLUTION: The problem is to use the equation p=7t^2+2500: 2500 is current population, to find how many years it would take for the population to reach 12,000.round to the nearest whole year

Question 151922: The problem is to use the equation p=7t^2+2500: 2500 is current population, to find how many years it would take for the population to reach 12,000.round to the nearest whole year when necessary.
Found 2 solutions by nabla, Earlsdon:
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
Then we want:
12000=7t^2+2500
0=7t^2-9500
and
9500/7=t^2
so
Sqrt(9500/7)=t (we exclude the negative solution)

t is approximately 37 years.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
It would be most helpful if you were to define the variables in the formula.
We'll assume that p = population and that t = time in years.
So, let's proceed on these assumptions:

You want to find the value of t (number of years) when p (the population) reaches 12,000.
Set p = 12,000
Subtract 2500 from both sides of the equation.
Now divide both sides by 7.
Finally, take the square root of both sides.

It would take about 37 years for the population to reach 12,000.
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