A marketing consultant produced the following graph to show a client how many lawn mowers she could expect to sell, based on how much she spent on advertising. Considering that the consultant wants the graph to show that spending $32,000 on advertising should result in sales of 2200 lawn mowers, choose appropriate units and scales for the two axes.

A. Horizontal axis: sales, in thousands; vertical axis: dollars, in hundreds
B. Horizontal axis: sales, in hundreds; vertical axis: dollars, in thousands
C. Horizontal axis: dollars, in thousands; vertical axis: sales, in hundreds
D. Horizontal axis: dollars, in hundreds; vertical axis: sales, in thousands

Organisms that live in the alpine and taiga biomes have developed unique adaptations that aid in their survival. the douglas-fir is a conifer tree that grows in the taiga biome. it has an average height of about 70 feet, and its wood is an important source of lumber.

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?

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