Note the expression: y = A/x³.Which statement is most consistent with this expression? A)y is less than A. B)If x is halved,y is multiplied by eight. C)If x is doubled,y is multiplied by a factor of 8. D)y is greater than x.

Question

Quizplus · Accepted Answer

If x is halved, then x/2 is substituted into the expression, making the denominator 2S1U1P13S1S1P0. Since the denominator is in the exponent, we can use exponent rules to simplify it to S1U1P13S1S1P0 - 1 = S1U1P03S1S1P0. This means the denominator has been multiplied by a factor of 8, so y is multiplied by 1/8. Therefore, if x is halved, y is multiplied by eight.

Note the Expression: Y = A/x3

Note the Expression: Y = A/x³