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tatyana61 [14]
3 years ago
15

If y varies inversely with x, and y=8 when x=10 find x when y=4

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 8 when x = 10

k = yx = 8 × 10 = 80

y = \frac{80}{x} ← equation of variation

When y = 4, then

4 = \frac{80}{x} ( multiply both sides by x )

4x = 80 ( divide both sides by 4 )

x = 20

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