sayedaly2096
17.07.2019 •
Mathematics
Acolony of bacteria grows according to the uninhibited growth model. suppose there is 18 g of bacteria on monday and 54 g of bacteria on wednesday. (a) find a function that gives the amount of bacteria in grams after t days. (use the variable a to represent the initial amount.) a(t) = (b) what is the doubling time for the colony? (round your answer to 2 decimal places.)
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Ответ:
a. The general form of equation of an uninhibited growth model is:
A = a e^kt
where A is final amount, a is initial amount, k is constant and t is time
From Monday to Wednesday, two days have passed so t = 2, therefore calculating for constant k:
54 = 18 e^k(2)
e^2k = 3
2k = ln 3
k = 0.55
So the function becomes:
A(t) = a e^0.55t
b. Finding for t when A = 2a
2a = a e^0.55 t
0.55 t = ln 2
t = 1.26 days
Ответ:
The last option.
Step-by-step explanation:
1. By definition the ratio of the perimeter is the same as the scale factor.
2. Keeping this on mind, you can calculate the scale factor as shown below:
3. You can rewrite it as following:
4:3
4. Therefore, the ratio of the perimeter is 4:3