The number of bacteria in a culture grows at a rate that is proportional to the number present. initially, there were 10 bacteria in the culture. if the doubling time is equal to 3 hours, what is the number of bacteria present after 24 hours?

N = 10(2)^t where N = number of bacteria and t = time in multiples of 3 hours

So when t = 24/3 we have

N = 10 (2)^8 = 2560 answer

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is