This exercise uses the population growth model.A certain culture of the bacterium Streptococcus A initially has 8 bacteria and is observed to double every 1.5 hours.(a) Find an exponential modeln(t) = n02t/afor the number of bacteria in the culture after t hours.n(t) =(b) Estimate the number of bacteria after 26 hours. (Round your answer to the nearest whole number.)bacteria(c) After how many hours will the bacteria count reach 10,000? (Round your answer to one decimal place.)

(a)

(b)1,482,833

(c)15.2 hours

Step-by-step explanation:

where is the initial population, t=time(in hours),

a=interval of growth doubling

(a) =8, a=1.5 hours

After t hours, the number of bacteria in the culture

(b)The number of bacteria after 26 hours

After 26 hours, the number of bacteria in the culture will be approximately 1,482,833.

(c)If n(t)=10,000, we want to determine the value of t.

Taking the natural logarithm of both sides

=15.2 hours (correct to 1 decimal place)

A

Step-by-step explanation:

A function is that of which has only one x value. Therefore you are looking for the graph that does not have multiple x values. Doing a vertical line test to see whether there is more than one point on a line of the graph will show you that A is the only one that has one answer for each x value that is given. All the other graphs have two points for some of the x's, which makes them not a function.