Compare your answers:

Things you may notice:

• The $x$-values are $1$, $2$, $3$, $4$, and $5$ in all three tables.
• In the first two tables, the $y$-values increase, while in the third table, they increase and then decrease.
• The $y$-values in the first table are all multiples of $5$, and they grow linearly. In the second table, the $y$-values grow by a factor of $2$ each time $x$ increases by $1$. In the third table, there isn’t an obvious pattern in how the $y$-values change.

Things you may wonder:

• Is there a rule for the relationship in the third table?
• Will the $y$-values in the third table continue to decrease, or will they increase again at some point?
• What would the third relationship look like if graphed?