Suppose that is inversely proportional to the square of . Which one of the following is an equation that expresses this statement?

Question

Suppose that  is inversely proportional to the square of  . Which one of the following is an equation that expresses this statement?

Quizplus · Accepted Answer

The inverse proportionality between two quantities x and y is expressed as xy = k, where k is a constant. Here, the first quantity is given as 11ec19db_84f1_212c_9dbe_4f559102f0b2_TBX8673_11 and the second quantity is given as the square of 11ec19db_84f1_212d_9dbe_91b302f239d5_TBX8673_11. So, xy = k becomes 11ec19db_84f1_212c_9dbe_4f559102f0b2_TBX8673_11 * (11ec19db_84f1_212d_9dbe_91b302f239d5_TBX8673_11)^(-2) = k. Simplifying this expression, we get k = 11ec19db_84f1_4840_9dbe_edb5ce81aa40_TBX8673_11. Therefore, the equation that expresses the given statement is 11ec19db_84f1_212c_9dbe_4f559102f0b2_TBX8673_11 * (11ec19db_84f1_212d_9dbe_91b302f239d5_TBX8673_11)^(-2) = 11ec19db_84f1_4840_9dbe_edb5ce81aa40_TBX8673_11, which is option C.

Suppose That Is Inversely Proportional to the Square of