Question

Look back at Example 1. Suppose the season goal record is 124 goals and your team has already scored 52 goals. With 12 games remaining on the schedule, how many goals, on average, does your team need to score per game to break the record?

Short answer

The average goals for breaking record are$g>2.25$ .

Step-by-step solution

Step-1-Define the variable and formulate the inequality

Let g represent the average of goals scored per game.

As per the question,

Goals scored this season + number of games leftgoals scored per game >school record.

Therefore,$52+12·g>124$ .

Step-2- solve the inequality

$\begin{array}{c}52+12·g>124\\ 52+12·g-52>124-52\left(\text{Subtract52frombothsides}\right)\\ 12·g>27\left(\text{Simplify}\right)\\ g>\frac{27}{12}\left(\text{Divideby12}\right)\\ g>2.25\left(\text{Simplify}\right)\end{array}$

Step-3- Conclusion

The average goals for breaking record are$g>2.25$ .