A table shows the number of items sold ($n$) and the profit ($P$) in dollars. |n: 10, 20, 10, 30|, |P: 50, 100, 55, 150|. Does this table represent $P$ as a function of $n$?

Yes, because all the profit values are positive.

No, because the input $n=10$ is associated with two different profit values.

Yes, because as the number of items sold increases, the profit increases.

No, because the input values are not in increasing order.

Consider the table |Input (a): -1, 0, 2, 0|, |Output (b): 5, 7, 9, 8|. Why does this table fail to represent $b$ as a function of $a$?

Because the input value 0 corresponds to two different outputs.

Because the output values are not in order.

Because one of the inputs is a negative number.

Because two different inputs have different outputs.