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If a is inversely related to the square of b, and a = 3 when bis
8, which of the following is another possible value for a and b?
(A) a = 4, b = 12
(B) a = 12, b = 4
(C) a = 8, b = 3
(D) a = 2, b = 4
(E) a = 6, b = 4

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Accepted Answer

Another possible values for a and b are a = 12 and b = 4How to find another possible value for a and b?A variation is a relation between a set of values of one variable and a set of values of other variablesGiven that:  a is inversely related to the square of b, and a = 3 when bis8.This can be written as:a α 1/b²a = k/b²               (where k is  a constant)k = ab²since a = 3 and b = 8. Thus, k = 3 × 8² = 3 × 64 = 192For a value to be another possible value for a and b, they must give k = 192 when substituted into the equation k = ab²:a = 4, b = 12: k = 4 × 12² = 576a = 12, b = 4: k =  12 × 4² = 192a = 8, b = 3:  k =  8 × 3² = 72a = 2, b = 4: k =  2 × 4² = 32 a = 6, b = 4: k =  6 × 4² = 96The values that produce k = 192 are a = 12 and b = 4. Therefore, another possible value for a and b is a = 12 and b = 4. So option B is the answer Learn more about variation on:https://brainly.com/question/2375770#SPJ1