On her way home from the laboratory, Duru realized that she left a test tube containing 50,000 bacteria in 1
the lab. Each minute that passes, of the total number of bacteria duplicate. If the number of bacteria
3
reaches 100,000, the test tube will explode! Naturally, she turned around and rushed back to the lab.
It took Duru t minutes to return to the lab, and she found the test tube intact.
Write an inequality in terms of t that models the situation.