Determine the Constant of Variation for the Stated Condition $\frac { 1 } { 16 }$

Multiple Choice

Determine the constant of variation for the stated condition.
-For a resistor in a direct current circuit that does not vary its resistance, the power that a resistor must dissipate is directly proportional to the square of the voltage across the resistor. The resistor must dissipate $\frac { 1 } { 16 }$ watt of power when the voltage across the resistor is 7 volts. Find the power that the resistor must dissipate when the voltage across it is 14 volts.

A) $\frac { 1 } { 4 }$ watt
B) $\frac { 1 } { 8 } \mathrm { watt }$
C) $\frac { 49 } { 16 }$ watts
D) $\frac { 7 } { 16 } \mathrm { watt }$