A petri dish contains 8 bacteria. Each hour, the number of bacteria doubles. After how many hours will there be 400 bacteria? Round to the nearest tenth of an hour.

correct answers below:

the answer is 489

step-by-step explanation:

i hope this is what you were looking for.

see attached graph

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.