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horsena [70]
3 years ago
8

Y is inversely proportional to X. When X=3, Y=8. Work out the value of Y when X=8

Mathematics
2 answers:
Alja [10]3 years ago
7 0

y \:   = k   \: \frac{1}{x}  \:  \\ where \: k \: is \: some \: constant

for x = 3 y = 8

lets put it in equation

8 = k × (1/3)

k = 8×3=24

so now for x = 8

y = k/x = 24/ 8 = 3

Kazeer [188]3 years ago
3 0

Answer:

y = 3

Step-by-step explanation:

given y is inversely proportional to 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 = 3

k = yx = 8 × 3 = 24

y = \frac{24}{x} ← equation of variation

When x = 8, then

y = \frac{24}{8} = 3

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