Which table show `y` as a function of `x`?
A. [x, -13,-13,-13,-13] [y,-2,0,5,7]
B. [x,-6,-1,-1,10] [y,3,-1,5,-9]
C.[x,
D.[x,
Unfortunately, the options C and D were not provided in the question. However, I can help determine which of the given tables show "y" as a function of "x."
To determine if a table shows "y" as a function of "x," we need to make sure that for each value of "x," there is only one corresponding value of "y." In other words, each value of "x" should have a unique value of "y."
Looking at the given options:
A. [x, -13, -13, -13, -13] [y, -2, 0, 5, 7]
B. [x, -6, -1, -1, 10] [y, 3, -1, 5, -9]
For option A, we see that for each value of "x" (-13), there is a unique value of "y" (-2, 0, 5, 7). Therefore, option A represents "y" as a function of "x."
For option B, we can see that for the value "x" = -1, there are two different values of "y" (-1 and 5). This violates the condition of having only one unique value of "y" for each "x." Therefore, option B does not represent "y" as a function of "x."
Thus, the table that shows "y" as a function of "x" is option A.
A student worked out at a gym continuously for 30 minutes. The graph shows the remaining percentage of the workout as a function of time in minutes. Which answer choice describes the domain of this situation?
All real numbers greater than or equal to 0 and less than or equal to 30
All real numbers greater than or equal to 0 and less than or equal to 100
{0, 100} {0, 30}
The correct answer is: All real numbers greater than or equal to 0 and less than or equal to 30.
In the given situation, the student worked out continuously for 30 minutes. The remaining percentage of the workout is being represented as a function of time in minutes on the graph.
The domain of the situation represents all possible values of the independent variable, which in this case is time in minutes. Since the student worked out continuously for 30 minutes, the domain of the situation should include all real numbers greater than or equal to 0 (starting time) and less than or equal to 30 (ending time). This ensures that we capture the entire duration of the workout.
Therefore, the correct answer is "All real numbers greater than or equal to 0 and less than or equal to 30."