Write an equation that relates the variables. n varies inversely as the ffth power ext { ffth power } ffth power of mA) n = 5 k m n = 5 \mathrm {~km} n = 5 km B) n = k m n = \frac { k } { m } n = m k C) n = k m 5 n = \frac { k m } { 5 } n = 5 km D) n = k m 5 n = k m ^ { 5 } n = k m 5 E) n = k m 5 n = \frac { k } { m ^ { 5 } } n = m 5 k

Question

Write an equation that relates the variables. n varies inversely as the    ffth power  	ext { ffth power }  ffth power    of mA)    n = 5   k m n = 5 \mathrm {~km} n = 5   km B)    n = k m n = \frac { k } { m } n = m k ​ C)    n = k m 5 n = \frac { k m } { 5 } n = 5 km ​ D)    n = k m 5 n = k m ^ { 5 } n = k m 5 E)    n = k m 5 n = \frac { k } { m ^ { 5 } } n = m 5 k ​

Ciara Mulieri · Accepted Answer

Final Answer : E, Explanation :  When two variables vary inversely, their product is constant. Here, we are given that n varies inversely as the fifth power of m. Therefore, we can write:n*m^5 = kwhere k is the constant of variation. Solving for n, we get:n = k/m^5which is the same as option E.

Write an equation that relates the variables. n varies inversely as the $\text { ffth power }$ of m

A) $\mathrm {~km}$
B) $\frac { k } { m }$
C) $\frac { k m } { 5 }$
D) $n = k m ^ { 5 }$
E) $\frac { k } { m ^ { 5 } }$

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