Question

Population of a town can be modeled by P=2|t-8|+4, where t=0 represents 1990. During which two years does the town have a population of 8000?

Answer 1

Plug in 8,000 for P and solve for t. There will be two answers because there is an absolute value. Keep in mind that t only equals the NUMBER of years after 1990; to find the YEAR, you need to add those numbers to 1990.

Answer 2

put
\[8000=2|t-8|+4\]
\[7996=2|t-8|\]
\[3998=|t-8|\]
\[t-8=3998\]
\[t=4006\] so one answer is
\[1990+4006\] what kind of weird question is this?

other one is
\[t-8=-3998\] so
\[t=-3990\] etc

Answer 3

^ Lol, satellite73 is correct; there is something wrong with the population model..