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? 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 a) cannot be determined b) yes, because for every x there is only one y. c) yes, because for every y there is only one x. d) no, because for some x's there are more than one y's.

D) No, because for some x's there are more than one y's.

Step-by-step explanation:

By the definition of function,

In a function For the every input there is a single value of output.

That is, if F is a function such that

Then, and must be distinct.

But according to the given table,

For the value of 8 there are two outputs values 7 and 9.

Therefore, we can say that  the given ordered pairs (x, y) can not make the function because there are more than on y's for one value of x's.