A culture started with 5,000 bacteria. After 2 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after
18 hours. Round your answer to the nearest whole number.
1 answer:
This can be expressed as exponential growth of the form:
f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time
In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...
6500=5000r^2 divide both sides by 5000
1.3=r^2 take the square root of both sides and note that we know r>0
r=1.3^(1/2) so our equation becomes:
f=5000(1.3)^(1/2)^t and knowing that (a^b)^c=a^(b*c) we can say:
f=5000(1.3)^(t/2) so for t=18
f=5000(1.3)^9
f≈53022 (to nearest whole bacteria)
You might be interested in
0.75x-4=0.83
the 3 is repeating
Answer:
Donate to the poor maaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaan
Step-by-step explanation:
pls
Answer: $ 12.5
Step-by-step explanation:
To find the hourly rate, divide the total cost by the total hours, that is
$50 / 4 = $12.5
$75/6 = $12.5
Answer:
0.3
Step-by-step explanation:
just divide on a calculator 3/9 and u get 0.3
Answer:
36 in over 2
Step-by-step explanation: