College Algebra

Question

The population of the United States in 2017 - 2050 can be modeled by the quadratic function P left parenthesis t right parenthesis equals 0.0021655 t squared plus 2.5701 t plus 96.45 where P represents the population in millions and t is the number of years since 2017. Use the QUADRATIC FORMULA to solve P left parenthesis t right parenthesis equals 200 to two decimal places, then explain what the solutions mean.

Answer 1

P(t) = 0.0021655t^2 + 2.5701t + 96.45 = 200

 

   0.0021655t^2 + 2.5701t + 96.45 - 200 = 0

 

  0.0021655t^2 + 2.5701t -103.55 = 0

 

  By quadratic equation formula, t = 39

 

 I will take 39 years, or the year 2017+39 = 2056 for the population to read 200 million