1. [4] Submit an integer $x$ as your answer to this problem. The number of points you receive will be $\max (0,8-|8 x-100|)$. (Non-integer answers will be given 0 points.)
Answer: $\square$
Solution: We want to minimize $|8 x-100|$, so $x$ should equal either the floor or the ceiling of $\frac{100}{8}=12.5$. Note that no other answers receive any points, while both 12 and 13 receive 4 points.