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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

Chapter Test

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Exercise 2 Page 719

Consider the general form of an inverse variation.

x y = 32 or y = 32/x

Practice makes perfect

We will begin by recalling the general form of an inverse variation. x y = k or y=k/xIn this form, k is the constant of variation and ( x, y) is an ordered pair. We are given that the point ( -8, -4) satisfies the inverse variation. Let's substitute this point into the equation to find k.

x y = k

SubstituteValues

Substitute values

-8( -4) = k

MultNegNegOnePar

- a(- b)=a* b

32 = k

Rearrange equation

k = 32

Now that we have the value of k, we can write an equation for the inverse variation. x y = 32 ⇔ y = 32/x