Kathleen, a teacher's assistant, is grading quizzes. The function f(x) gives the number of quizzes she can grade in x minutes. What does f(30) = 15 tell you? Choices: (A)Kathleen can grade 30 quizzes in 15 minutes. (B)Kathleen can grade 15 quizzes in 30 minutes.

Question

Kathleen, a teacher's assistant, is grading quizzes. The function f(x) gives the number of quizzes she can grade in x minutes. What does f(30) = 15 tell you?   Choices: (A)Kathleen can grade 30 quizzes in 15 minutes. (B)Kathleen can grade 15 quizzes in 30 minutes.

Bytelearn · Accepted Answer

Function Definition: The function f(x) represents the number of quizzes Kathleen can grade in x minutes. The input to the function, x, is the number of minutes, and the output, f(x), is the number of quizzes graded in that time.Substitution of x: To understand what f(30) = 15 means, we substitute x with 30 in the function f(x). This gives us the number of quizzes Kathleen can grade in 30 minutes.Interpreting f(30) = 15: Since f(30) = 15, this tells us that Kathleen can grade 15 quizzes in 30 minutes, not the other way around. It is important to note that the function's input is the time and the output is the number of quizzes.Correct Interpretation: Therefore, the correct interpretation of f(30) = 15 is that Kathleen can grade 15 quizzes in 30 minutes, which corresponds to choice (B).

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