Suppose a culture of bacteria starts with 8000 bacteria. after one hour, the count is 9000. find an exponential equation that models the number of bacteria in hours. keep at least 4 decimal places in your formula for rounded values. find the doubling time of the bacteria. round the doubling time to the nearest 0.01 hours.

The exponential equation would be 8000 (1.125)^t where t represents the number of hours. If you want to find the doubling time of the bacteria, you would put the equation like this: 8000 (1.125)^t = 16000. 
1) 1.125^t = 2
2) log_1.125(2) = t
3) t = 5.8849491924
Rounding the time to the nearest 0.01 hours would give you 5.88 hours. 

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.