Which graph or table shows a proportional relationship? Select all that apply. Time (min) Number of Bacteria
2
4
4
16
54
48
42
36
30
24
18
12
6
Total Height (cm)
36
6
8
64
х
0 1 2 3 4 5 6 7 8 9 10
Number of Days
Number of Days Total Miles Run
2
16.4
4
32.8
6
49.2
Total Cost ($)
84
72
60
48
36
24
12
8
65.6
0
2 4 6 8 10 12 14 16 18 20
Number of Pounds of Meat

The equation respenting the left table is

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?

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?