Answer:
0.16666666666
Step-by-step explanation:
4/24
Answer:
The proportionality constant is 2/5
Step-by-step explanation:
Here, we want to get the proportionality constant
Let us view the two points as being points on a line
The constant of proportionality will be the slope of the line that connects the two points
Mathematically, we can use the formula for the slope of a line
We have this as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (20,8)
(x2,y2)= (25,10)
m = (10-8)/(25-20) = 2/5
(kg/L)0.001gram per litre (g/L)1
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Hope this helps. :)
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Exponential Growth
Some real-life events grow in such a way that they can be modeled as an exponential function, given as:
Where C(t) is the future value of the measured variable, Co is its initial value, r is the growth rate and t is the time.
We are given the following data:
Initial amount: Co=40 bacteria
Growth rate: 1 + r = 3
The bacteria triples every 4 days, thus t is the number of periods of 4 days.
Thus the model is:
We can solve the equation
1 + r = 3
And get r = 2. Rewriting the equation:
We are required to find the number of bacteria after 20 days, that is, after 20/4 = 5 periods of 4 days. Substituting:
Calculating:
The colony would have 9,720 bacteria after 20 days