Answer to Question #154577 in Algebra for Rahul Datta

Question

Suppose a culture of bacteria doubles( x2) each hour.  There are initially 2200 bacteria.  The equation y=22002xgives the number of bacteria after “x” number of hours. How many bacteria will there be after 5 hours?

Answer 1

If bacteria doubles each hour, it mean that we will have equation that will describe number of bacteria. $y$ =2^x*2200, where x is hours, in our case x =5, and y is number of bacteria after 5 hours. So y = 2⁵*2200

y= 32*2200

y = 70400

And we have answer of our problem. 70400 bacteria will there be after 5 hours of doubling.