One year after sarah started a new job, she had $1200 in her savings account. each year, she added $900 more to the savings account. what function, written in sequence notation, models sarah’s savings account balance n years after starting her new job? a. an=300n+900 b. an=900n+300 c. an=300n+1200 d. an=900n+1200

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?