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3 years ago

Write a function that represents the relationship between X and y shown in the graph below

Mathematics

1 answer:

guapka [62]3 years ago

7 0

<h3>Answer: y = 3x-10</h3>

==============================================================

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

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To be clear, the given relation between time and female population is an integral:
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The problem says that r = 1.2 and S = 400, therefore substituting:
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= $
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In order to evaluate this integral, we need to write this rational function in a simpler way:
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Therefore, our integral can be written as:
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dP = \int {( \frac{-1}{P} + \frac{1.2}{0.2P-400} )} \, dP$ 
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= $- \int { \frac{1}{P} \, dP +
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Now, let’s evaluate C by considering that at t = 0 P = 10000:
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C = ln |10000| - 6 ln |1600|
C = ln (10⁴) - 6 ln (2⁶·5²)
C = 4 ln (10) - 36 ln (2) - 12 ln (5) 
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t = - ln |P| + 6 ln |0.2P - 400| + 4 ln (10) - 36 ln (2) - 12 ln (5)

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