Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.
We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.
Therefore A ⊆ B.
The population of Saya islands after 4 months will be 8,100 people.
It is given in the question that:-
Initial population of Saya island = 100 people
The population of the Saya island tripled every month
We have to find the population of the island after 4 months.
The population of Saya island after 1 month = 100*3 = 300 people.
The population of Saya island after 2 months = 300*3 = 900 people.
The population of Saya island after 3rd months = 900*3 = 2,700 people.
The population of Saya island after 4th months = 2700*3 = 8,100 people.
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Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
