A culture of bacteria has an initial population df 970 bacteria and doubles every 7 hours. Using the formula Pt = P, .28, where Pt is the population after thours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 2 hours, to the nearest whole number?

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

i think it might be a but you might want a second opinion

-1/3(x+1)^5

i’m pretty sure this is correct