Question 2 of 10If you double the input of a function and it results in twice the output, and if you triple the input and it results in three times the output, what can be guessed about the function? Check all that apply.A.The function is most likely inversely proportional.B.The function is most likely directly proportional.C.More input results in more output.D.More input results in less output
Question
Question 2 of 10If you double the input of a function and it results in twice the output, and if you triple the input and it results in three times the output, what can be guessed about the function? Check all that apply.A.The function is most likely inversely proportional.B.The function is most likely directly proportional.C.More input results in more output.D.More input results in less output
Solution
A. The function is not likely inversely proportional. Inverse proportionality would mean that as the input increases, the output decreases, which is not the case here.
B. The function is most likely directly proportional. Direct proportionality means that as the input increases, the output increases at the same rate. This is consistent with the information given in the question.
C. More input results in more output. This is true based on the information given in the question. Doubling or tripling the input results in double or triple the output, respectively.
D. More input results in less output. This is not true based on the information given in the question. As the input increases, the output also increases, not decreases.
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