Question

On his way home from the laboratory, Louie realized that he left a test tube containing 2560 yeast cells in the lab. Every two minutes, the number of cells in the test tube increases by 50%. If the number of cells reaches 98,450 the test tube will explode! Naturally, he turned around and rushed back to the lab.

Answer 1

Answer:

98450 > 2560 * (1.5)^(t/2)

Step-by-step explanation:

We are told that there are 2560 cells in the test tube. Then they tell us that every 2 minutes, the number of cells increases by 50%. At 98,450 cells, the test tube will explode. Since Louie got to the lab before the tube exploded, 98,450 is greater than. On the other side of the inequality, we get 2560 times 1.5, because it is increasing by 50%. Then we put 1.5 to the power of t/2 because it grows by 50% every two minutes. The end result is 98450 > 2560 * (1.5)^(t/2). Hope this helps.