Age and Shoe Size
x (age) y (size)
8 7
9 8
10 9
8 9
14 9
15 11
10 10
33 9
27 9.5
45 10.5
Oliver is doing a study on age and shoe size. He has collected the data shown above.
Do the ordered pairs (x, y) he has collected form a function?
To determine if the ordered pairs form a function, we need to check if there is more than one y-value for any given x-value.
Let's look at the x-values and their corresponding y-values:
8 - 7, 9
9 - 8, 9
10 - 9, 10
14 - 9
15 - 11
33 - 9
27 - 9.5
45 - 10.5
For x = 8, we have two y-values (7 and 9).
For x = 9, we have two y-values (8 and 9).
Since there are multiple y-values for some x-values, the ordered pairs do not form a function.