Question

Partway through the season, a basketball coach promises his team that he will take them to a water park if they reach 1,000 points as a team by the end of the season. So far, they have scored 424 points. There are 9 games left in the season.

Fill in the values for a, b, and c to create an equation that can be used to find the average number of points, x, the team needs to score in each of the remaining games to meet their goal.

Answer 1

The first thing we must do in this case is to define variables:
 a = number of total points
 b = number of remaining games
 c = number of points scored
 x = number of points per game.
 The linear equation is:
 a = bx + c
 Substituting the values:
 1000 = 9x + 424
 Answer:
 An equation that is used to find the average number of points, x, the team needs to score in each of the remaining games to meet their goal is: 
 1000 = 9x + 424