Write a model for the statement. V varies jointly as h and the ffth power ext { ffth power } ffth power of rA) V = k h r 5 V = k h r ^ { 5 } V = kh r 5 B) V = 1 k h r 5 V = \frac { 1 } { k h r ^ { 5 } } V = kh r 5 1 C) V = 5 k h r V = 5 k h r V = 5 kh r D) V = k h + k r 5 V = k h + k r ^ { 5 } V = kh + k r 5 E) V = k h r 5 V = \frac { k h } { r ^ { 5 } } V = r 5 kh

Question

Write a model for the statement. V varies jointly as h and the    ffth power  	ext { ffth power }  ffth power    of rA)    V = k h r 5 V = k h r ^ { 5 } V = kh r 5 B)    V = 1 k h r 5 V = \frac { 1 } { k h r ^ { 5 } } V = kh r 5 1 ​ C)    V = 5 k h r V = 5 k h r V = 5 kh r D)    V = k h + k r 5 V = k h + k r ^ { 5 } V = kh + k r 5 E)    V = k h r 5 V = \frac { k h } { r ^ { 5 } } V = r 5 kh ​

Victoria Wilson · Accepted Answer

Final Answer : A, Explanation :  When two quantities vary jointly with a third quantity raised to a power, the formula is of the form V = khr^n where n is the power and k is a constant of proportionality. In this statement, V varies jointly with h and r^5, so the formula would be V = khr^5. Therefore, the best choice is A.

Write a model for the statement. V varies jointly as h and the $\text { ffth power }$ of r

A) $V = k h r ^ { 5 }$
B) $\frac { 1 } { k h r ^ { 5 } }$
C) $V = 5 kh r$
D) $V = k h + k r ^ { 5 }$
E) $\frac { k h } { r ^ { 5 } }$

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