A 5-year projection of population trends suggest that T years from now, the population of a certain community will be P(T)=T^3+9T^2+48T+50 thousand.

A. at what time during the 5-year period will the population be growing most rapidly?
B. at what time during the 5-year period will the population be growing most least rapidly?

Question

A 5-year projection of population trends suggest that T years from now, the population of a certain community will be P(T)=T^3+9T^2+48T+50 thousand.

A. at what time during the 5-year period will the population be growing most rapidly?
B.  at what time during the 5-year period will the population be growing most least rapidly?

anonymous · Answer

i am wondering if there is a typo here.  this is a cubic polynomial, and the larger T is the faster it grows

anonymous · Answer

unless it means this is the population for the next five years, in which case the slowest growth is at the beginning and then it speeds up

anonymous · Answer

it's T raise to 3 + 9T raise to 2 + 48T +50.. sorry i dont know how to do it.

anonymous · Answer

no that is fine, that is what i thought it said.

anonymous · Answer

yeah, can you answer it?