Assume that y varies inversely with x and that y is 2 when x is 4. Which of the following is the equation of inverse variation?

Kaydence Villegas

Kaydence Villegas

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2022-09-02

Assume that y varies inversely with x and that y is 2 when x is 4. Which of the following is the equation of inverse variation?

Answer & Explanation

etapi9a

etapi9a

Beginner2022-09-03Added 12 answers

Given: y α 1 x The α means - proportional to
Let k be the coefficient of proportionality
y = k × 1 x = k x
Given that at y=2 the value of x is 4
2 = k 4
Multiply both sides by 4
8=k
So the final equation is:
y = 8 x

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