Question

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function? a. (0,8) b. (16,2) c.(3,24) d.(4,2)

Answer 1

The ordered pair (4 , 2) is on the graph of the function ⇒ answer d

Step-by-step explanation:

Inverse variation can represented by the equation xy = k, where k is the

constant of variation

If x increased then y decreased and vice versa

To find the answer let us do these steps

1. Find the constant of variation

2. Write the equation of variation xy = k

3. Look for the ordered pair which satisfy the equation xy = k

∵ The inverse variation function has a k value of 8

∴ The equation is xy = 8

Let us find the correct answer

∵ The 1st ordered pair is (0 , 8)

∵ 0 × 8 = 0 ⇒ ≠ 8

∴ (0 , 8) is not the answer

∵ The 2nd ordered pair is (16 , 2)

∵ 16 × 2 = 32 ⇒ ≠ 8

∴ (16 , 2) is not the answer

∵ The 3rd ordered pair is (3 , 24)

∵ 3 × 24 = 72 ⇒ ≠ 8

∴ (3 , 24) is not the answer

∵ The 4th ordered pair is (4 , 2)

∵ 4 × 2 = 8

∴ (4 , 2) is the answer

The ordered pair (4 , 2) is on the graph of the function

Learn more:

You can learn more about the variation in brainly.com/question/4786449

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Answer 2

Answer:

d.(4,2)

Step-by-step explanation:

An Inverse Variation is defined as having its rule

$xy=k$

$x\neq0\:,y\neq0$

And its  constant k will return the slope of an inverse variation function, in this case, a rational function:

So:

$k=(0,8)\Rightarrow k=0*8=0\\k=(16,2)\Rightarrow k=16*2=32\\k=(24,3)\Rightarrow k= 24*3 \:k=72\\k (4,2)\Rightarrow k=4*2=8$

$xy=8\Rightarrow y=\frac{8}{x}$

In this function y varies inversely in comparison to x.