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navik [9.2K]
3 years ago
15

Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=125, y

=8.
Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

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