Annabelle and katherine work at a furniture store. annabelle is paid $235 per week plus 10% of her total sales in dollars, x x, which can be represented by g ( x ) = 235 + 0.1 x g(x)=235+0.1x. katherine is paid $1714 per week plus 1.5% of her total sales in dollars, x x, which can be represented by f ( x ) = 1714 + 0.015 x f(x)=1714+0.015x. determine the value of x x, in dollars, that will make their weekly pay the same.

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?