What symbol do I use and number line help plzz

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

The zoo collects $9.60 for every 24 tickets sold. how much will be collected for 400 tickets?

The function f(x) is shown in this graph the function g(x)=6x