The population, P (in thousands), of a town can be modeled by P= 2|t-6|+4, where t=0 represents 1990. During which two years does the town have a population of 8000?

Can someone show me the steps to this problem?

1 answer

For 2|t-6| + 4 = 8 (thousand),
you must have
2|t-6| = 4
which can be rewritten
|t-6| = 2

t can be either -4 or 8

Since t = 0 represents 1990, the years would be 1986 or 1998