Question

A test tube initially holds 25 bacteria. The population of bacteria in the test tube doubles each hour. Without making a graph, determine how many hours it will take for the population of bacteria in the test tube to reach 800. Explain how you solved this problem.

Thank You >=

Answer 1

25*2^X=800
2^X=32
If you put a radical sign over each side, the index for 2^X would have to be 5 for X to disappear and the equation to be true. In other words, ({5}(√2^X)=({5}(√32)), which means that It will take 5 hours

Answer: 5 hours.

Answer 2

5 hours because 800/25=32 32= 2^5 25 X 1 = 25 25 X 2 = 50 AFTER FIRST HOUR 25 X 2^5 = 800 AFTER FIFTH HOUR