The number P, in hundreds of bacteria in a sample, can be modeled by the equation P = t4 + 5t3 + 5t2 + 6t, where t is measured in weeks. Explain how to determine the number of weeks for which the population would be greater than 10,000.
Write an inequality. Get 0 on one side of the inequality. Graph the polynomial function. Find the x-intercepts. Determine intervals where the graph is above the x-axis. Eliminate negative values from the solution.
