If you quadruple the input of a function and the resulting output is one-fourth the original output, what may be true of the function? Check all that apply.A.The function is directly proportional.B.More input results in less output.C.The function is inversely proportional.D.More input results in more output.SUBMITarrow_backPREVIOUS
Question
If you quadruple the input of a function and the resulting output is one-fourth the original output, what may be true of the function? Check all that apply.A.The function is directly proportional.B.More input results in less output.C.The function is inversely proportional.D.More input results in more output.SUBMITarrow_backPREVIOUS
Solution
A. The function is not directly proportional. Direct proportionality would mean that if you increase the input, the output would also increase. However, in this case, when you increase the input (quadruple it), the output decreases (becomes one-fourth).
B. More input results in less output. This is true. When the input is quadrupled, the output becomes one-fourth of the original output.
C. The function is inversely proportional. This is true. Inverse proportionality means that as one quantity increases, the other decreases. Here, when the input (quantity) is increased (quadrupled), the output (another quantity) decreases (becomes one-fourth).
D. More input does not result in more output. As explained above, when the input is increased, the output decreases in this case.
So, the statements B and C may be true of the function.
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