Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) =
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 =
3 = 1 +
r = 100×(3 - 1)
r = 200
So the function is, f(x) =
a). Population after 4 hours,
f(4) =
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) =
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) =
= Infinite
For this case we have a function of the form:
We will evaluate the function for different values of x:
For x = 1:
For x = 2:
For x = 3:
We note that for each value of x, the function is 5 times greater than the previous value.
Answer:
The multiplicative rate of change of the function is:
5
The function is 5 times greater for each value of x.
Answer:
round 14.561 to two decimal places=15
9514 1404 393
Answer:
x = (√6)/10^0.7 ≈ 0.488737
Step-by-step explanation:
It can work reasonably well to take antilogs first.