Question

Kim's softball team was playing in the championship game. When there were
\[4\] innings left, the team was losing by a score of
\[17\] to
\[6\] runs. In the last
\[4\] innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs.
Write an inequality to determine the number of runs per inning,
\[p\], Kim's team could have scored.

Answer 1

Let p be runs per inning. Final runs = 6 + 4p, which must be greater than 17. So

6 + 4p > 17

Simplifying: 4p > 11 → p > 11/4.

Since runs are whole numbers, p ≥ 3.