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3 years ago

15

The pair of points (3,8) and (x, 6) are on the graph of am inverse variation. What is the missing value?

1 answer:

viktelen [127]3 years ago

7 0

1)
<span>y varies inversely with x </span>
<span>y=k/x , where k is any constant </span>
<span>y=-16 when x=-64 </span>

<span>-16 = k/ (-64) </span>
<span>-16 = k/-64 </span>
<span>k=(-16)(-64) = 1024 </span>

<span>2) </span>
<span>y =k/x , where k is any constant </span>

<span>y=8 when x=3 </span>
<span>8 = k/3 </span>
<span>k=24 </span>

<span>y=24/x </span>
<span>when y=6 </span>
<span>6 = 24/x </span>
<span>6x=24 </span>
<span>x=4 </span>

<span>Missing value is 4 </span>

<span>3) </span>
<span>xy/4=-3 </span>
<span>xy=-12 </span>
<span>y=-12/x </span>
<span>y=kx </span>
<span>k=-12 </span>

<span>4)</span>

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