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in a laboratory under favorable conditions, a bacteria population grows at an exponential rate. the number of cells C in the population is modeled by the function C(t)=ab^t. where a and b are constants and t is measured in hours. which function can be used to find the number of cells in the population at the time?


t: 0,1

C(t): 8,24

Respuesta :

Fusekid24

Answer:i got C(1)t

Step-by-step explanation:

brianna1012718

Answer: C(t) = 8(3)^t

t = 0 & c(t) = 8 now we insert the information into the equation

8 = 8(3)^0

Now we do 3 to the 0 power

Anything to the 0 power is just 1

so..

8 = 8(1)

8=8✔️

Now we do t = 1 & c(t) = 24

24 = 8(3)^1

Now we do 3 to the 1st power

Anything to the 1 power is just the number itself

so..

24 = 8(3)

24 = 24✔️

Answer: C(t) = 8(3)^t

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