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Sagot :
The chicken will weigh 3 pounds when it is 10,000 miles from the earth's center.
There are two types of proportions.
1) Direct Proportion - shows the direct relationship between two quantities. It can be represented by the equation y = kx. As one quantity increases, the other quantity also increase.
2) Inverse Proportion - describes the indirect relationship between two quantities. It can be represented by the equation y = k/x. As one quantity increases, the other quantity decreases.
According to the problem, a body’s weight varies inversely with the square of its distance from the center of the earth.
y = k/x
let y = a body's weight
x = square of its distance from the center of the earth
Solving for the proportionality constant, k.
y = k/x
12 = k / (5000^2)
k = 12 x 25, 000, 000
k = 300, 000, 000
The equation for the relationship in the problem can now be represented by:
y = 300,000,000/x
where
y = a body's weight
x = square of its distance from the center of the earth
Evaluating the new equation where x = square of 10,000:
y = 300,000,000/x
y = 300,000,00/(100,000,000)
y = 3
Hence, the chicken will weigh 3 pounds when it is 10,000 miles from the earth's center.
To know more about proportions: https://brainly.com/question/1266676
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