What is Rule 1?
Not sure? Try again.
Are you sure? Test your hypothesis!
~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~O~Let's take a closer look at Rule 1. As you now know, Rule 1 doubles your input. We can look at this with an input/output table.
| Input | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Output | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
We see that Output = 2 * Input. You may have heard that mathematicians are lazy. What this means is that mathematicians like to abbreviate as much as possible. They might abbreviate Output with O and Input with I, to write O = 2 * I. However, that looks too much like zero and one. Instead, they would suggest using y for Output and x for Input. So, y = 2 * x. That's less confusing. Notice that we use "*" for multiplication instead of "x". Why do you think we do this? Computer programming languages prefer the asterisk for multiplication over the letter x. In fact, they insist upon it. We usually write y = 2x instead of y = 2 * x. Thus, we have looked at Rule 1 in three different ways: numerically, verbally, algebraically. There is yet another way to look at Rule 1, and that is to graph it.