Suppose that x and y vary inversely and that x = 2 when y = 8. Write the function that models the inverse variation. A. y = 16/x B. y = 10/x C. y = 4x D. y = 6/x
Mathematics · High School · Thu Feb 04 2021
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Given the numerical statement:
Suppose that x and y vary inversely and that x = 2 when y = 8.
Determine the function that models the inverse variation.
Solution:
In order to determine the function that models the inverse variation, we must first find the constant of variation which is solved using the formula,
k = yx
k = constant of variation.
k = (2)(8)
k = 16
To find for the inverse, we simply needed to solve for y. To do so, divide x on both sides of the equation.
16 = yx
16/x = yx/x
This will cancel out yx leaving behind y.
y = 16/x
Final answer:
A. y = 16/x