Variation Exercise 2 - Inverse Variation Application
Answer the question below by using Definition of Inverse Variation
to write a mathematical model where W represents weight and
x represents distance from the center of the earth. Use the data
given to solve for the constant, writing a complete model, and then
using the complete model to answer the question. Justify steps.
| STATEMENT |
JUSTIFICATION |
| According to
Newton's Universal Law of Gravitation, the weight of an object
varies inversely as the square of the distance from the center of
the earth. At the surface of the earth, the object weighs 10
pounds and the radius of the earth is 3959 miles. What will the
object weigh when it is 7000 miles above the surface of the earth?
Model__________________________ |
Given
Definition of Inverse Variation
Substitute in values to solve for k.
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