Radical Equation Word Problems - Examples & Practice

Cooper discovered an island and named it Cooperloop. Over the years many people lived on Cooperloop. Cooper discovered that the population growth was given by the equation $P=91.1\sqrt{4+0.24t}$ where $P$ is the population in hundred thousands and $t$ is the time, in years. At what time, in years, does the population reach $388,000$? Round to the nearest hundredth.