Well first we need to find out what those years represent in terms of t:
So:
Then we substitute these back into the equation given for the pollution:
See how those numbers come out.
Pollution control has become a very important concern in all countries. If controls are not put in place, it has been predicted that the function P=10000t^5/4 + 14000 will describe the average pollution, in particles of pollution per cubic centimeter, in most cities at time t, in years,where t=0 corresponds to 1970 and t=37 correspond to 2007. Predict the pollution for 2007, 2010 and 2020.
Any idea would be helpful at this point!!! Thanks!
This is a problem of simply plugging in values (substitution).
If the function is and if 2007 is represented by t=37 (because the function models the population of 1970 when t=0), then we simply must replace the t in the function with 37:
Just do the math out, and we get (I think, I'm not sure if you mean or )
If t =0 in 1970, then if we want to calculate to population for 2010, we simply find the difference between 2010 and 1970, which is 40 years. So t= 40
Plug in the number: and solve. I think you can figure out the last one.