If y varies inversely as x, and y = 4 as x = 8, find y for the x-value of 2.
2 answers:
y = k/x
We want to find k first.
4 = k/8
4(8) = (k/8)(8)
32 = k
We now need to find y knowing that k = 32 and x = 2.
y = k/x
y = 32/2
y = 16
Did you follow?
Answer:
16
Step-by-step explanation:
Inverse variation follows this equation:
y = k/x
We know one point, so we input x and y, and solve for k.
4 = k/8
k = 32
The inverse variation equation is
y = 32/x
Now we let x = 2, and use our equation to find y.
y = 32/2
y = 16
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