The bar graph shows the average annual spending per person on selected items in 2010. The combined spending on housing, vehicles/gas, and health care was $13,768. The difference between spending
on housing and spending on vehicles/gas was $3815. The difference between spending on housing and spending
on health care was $576. Find the average per-person spending on housing, vehicles/gas, and health care in 2010.
Find the average per-person spending on housing in 2010.

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?