Write a model for the statement. I varies inversely as the tenth power ext { tenth power } tenth power of VA) I = k V I = \frac { k } { V } I = V k B) I = 1 k + V 10 I = \frac { 1 } { k + V ^ { 10 } } I = k + V 10 1 C) I = k V 10 I = \frac { k } { V ^ { 10 } } I = V 10 k D) I = k V 10 I = k V ^ { 10 } I = k V 10 E) I = 10 k V I = 10 \mathrm { kV } I = 10 kV

Question

Write a model for the statement. I varies inversely as the    tenth power  	ext { tenth power }  tenth power    of VA)    I = k V I = \frac { k } { V } I = V k ​ B)    I = 1 k + V 10 I = \frac { 1 } { k + V ^ { 10 } } I = k + V 10 1 ​ C)    I = k V 10 I = \frac { k } { V ^ { 10 } } I = V 10 k ​ D)    I = k V 10 I = k V ^ { 10 } I = k V 10 E)    I = 10 k V I = 10 \mathrm { kV } I = 10 kV

Christian Perez · Accepted Answer

Final Answer : C, Explanation :   The statement I varies inversely as the tenth power of V can be written as   I ∝ 1 V 10 I \propto \frac { 1 } { V ^ { 10 } } I ∝ V 10 1 ​  . Introducing the constant of proportionality, we get   I = k V 10 I = \frac { k } { V ^ { 10 } } I = V 10 k ​  , which is option C.

Write a model for the statement. I varies inversely as the $\text { tenth power }$ of V

A) $\frac { k } { V }$
B) $\frac { 1 } { k + V ^ { 10 } }$
C) $\frac { k } { V ^ { 10 } }$
D) $I = k V ^ { 10 }$
E) $\mathrm { kV }$

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