Question

the number F of bacteria in a petri dish during an experiment can be modeled by the function F(t)=5(2)^t, where t is time, in seconds, since the experiment began. find and interpret the average rate of change on the interval of [0,5]

Answer 1

`(f(x+h)-f(x))/((x+h)-x)\\(f(0+5)-f(0))/((0+5)-0)\\(f(5)-f(0))/(5)\\\\f(0)=5(2)^((0))\\f(0)=5(1)\\f(0)=5\\f(5)=5(2)^((5))\\f(5)=5(32)\\f(5)=160\\\\((160)-(5))/(5)\\(155)/(5)\\31`

31 bacteria-per-second.