the variable M varies directly as the cube root of n. when n equals 27 m equals to 216. which equation can be used to find other combinations of m and n​

the variable M varies directly as the cube root of n when n equals 27 m equals to 216 which equation can be used to find other combinations of m and n class=

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Answer:

A

Step-by-step explanation:

I got it right on my test.

The equation can be used to find other combinations of m and n is

[tex] m = 72 \sqrt[3]{n} [/tex]

Direct variation

[tex] m = k \times \sqrt[3]{n} [/tex]

Where,

k = constant of proportionality

If n = 27 and m = 216

[tex] 216 = k \times \sqrt[3]{27} [/tex]

216 = k × 3

216 = 3k

k = 216/3

k = 72

Therefore, the equation can be used to find other combinations of m and n is

[tex] m = 72 \times \sqrt[3]{n} [/tex]

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