Question

It is the last game of the season, and Hank’s team needs to score more than 56 points in the game to win the conference scoring title. The team had scored 35 points by halftime. Write an inequality for the number of points (x) the team must score in the second half to win the scoring title.

Answer 1

To win the conference scoring title, Hank's team must score more than 21 points in the second half, as represented by the inequality x > 21.

Step-by-step explanation:

To determine the number of points Hank's team must score in the second half to win the conference scoring title, knowing that they need more than 56 points total and have already scored 35 points by halftime, we can set up the following inequality:

Let x represent the number of points Hank's team must score in the second half. The inequality will then be:

35 + x > 56

To find out the required points, we subtract 35 from both sides of the inequality:

x > 56 - 35

x > 21

This means Hank's team must score more than 21 points in the second half to win the conference scoring title.