Answers4413VA ALGEBRA 3 SEM ASolving Compound InequalitiesQuestion 7
7
AssignmentMultiple Choice

Solving Compound Inequalities

Question 7 • 4413VA ALGEBRA 3 SEM A

Central City High’s basketball team will be entering the playoffs at the end of their regular season. There will be 3 other teams in the playoffs, with season average scores of 87, 92, and 119. Central City High has played 7 games with an average score of 91. What score range could they have in their eighth and last regular season game to have the second highest season average score in the tournament?

Answer
A
87 < x < 92
B
93 < x < 99
C
99 < x < 315
D
108 < x < 299

Explanation

Central City’s current total is 7 × 91 = 637 points. To finish with the second-highest average, its new average must be above 92 and below 119, placing it between the teams averaging 92 and 119. Solving 92 < (637 + x)/8 < 119 gives 736 < 637 + x < 952, or 99 < x < 315. So the correct choice is the range 99 < x < 315.

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