The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
mc019-1.jpg
Is the height of these students a function of their wrist circumference?
Yes because as wrist circumference increases height also increases.
Yes because a line can be fit to these data to predict other pairings.
No because the height of 151 cm is paired with two wrist circumferences.
No because the wrist circumference of 16 cm is paired with two heights.
whats the answeR?
No because the height of 151 cm is paired with two wrist circumferences.
Cannot access graph here.
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No because the wrist circumference of 16 cm is paired with two heights. i took the test
To determine whether the height of these students is a function of their wrist circumference, we need to understand the concept of a function.
In mathematics, a function is a relationship between two sets of values where each input from the first set corresponds to exactly one output from the second set. In this case, the wrist circumference is the input, and the height is the output.
Looking at the graph provided, we can see that there are repeated values for both wrist circumference and height. The height of 151 cm is paired with two different wrist circumferences, and the wrist circumference of 16 cm is paired with two different heights.
A function cannot have multiple outputs for a single input, which means that the height of these students is not a function of their wrist circumference.
Therefore, the correct answer is: No because the height of 151 cm is paired with two wrist circumferences and the wrist circumference of 16 cm is paired with two heights.