Once upon a time, there lived an ordinary human named Suzan With a Z. Suzan With a Z loved making friends, not for the sake of being in the presence of other humans, but just to get free material goods. In fact, Suzan With a Z had an unhealthy infatuation with long pieces of wood with graphite in the centre (aka pencils). She found out that for every “friend” she seemed to make she gained about 2 pencils. Not long after Suzan With a Z’s teacher assigned her a “real life linear relation” project. She decided that she wanted to graph her discovery of how many pencils she could get per friend. This is the story of Suzan With a Z’s adventure of exploiting her “friends”.
See Fig. 1 Suzan With a Z’s adventure begins when her teacher gives her 2 pencils at the start of the year (sadly, her teacher is not her friend). She begins to make friends and gain pencils and decides to graph her experiences. She figures out that the more enemies she makes, the fewer pencils she seems to have (exactly 2 fewer pencils per enemy). The enemies of Suzan With a Z must know of her odd infatuation with pencils.
See Fig. 2 One day, Suzan With a Z discovers that she can make her linear equation steeper by asking her each of her friends to “borrow” another pencil and she never returned it. In other words, she increases the number of pencils she receives per friend. When Suzan With a Z’s enemies found out that she was gaining more pencils, they decided to up their game and take 3 pencils instead of 2.
The next day, Suzan With a Z then discovered that if she talked badly about cats then her friends became mad. These cat obsessed friends would get so mad that they took back one of their previously given pencils. Her enemies felt slightly bad and decided to only take 1 pencil rather than 2. This made the linear relation between her pencils and friends flatter. See Fig 3.