Amaya's test scores in Algebra 1 are 48 and 61. She has one more test left and wants to earn a D for the course, which is from 6
0-69 inclusive. Write a compound inequality to repesent the situation and solve the inequality to find the range of scores Amaya has to earn to get a D in Algebra 1. Amaya must get greater than or equal to a
The first thing you should do before writing the compound inequation is to know what Amaya's grade point average is. The average grade for the three exams is: (48 + 61 + x) / 3 Then, she wants to get a D in the course, then we have two inequations: (48+61+x)/3 >=60 (48 + 61 + x) / 3 <= 69 The compound inequation is: 60 <= (48 + 61 + x) / 3 <= 69 Solving the compound inequation: (48 + 61 + x) / 3> = 60 (48 + 61 + x) / 3 = 60 (48 + 61 + x) = 180 x = 180 - 48 - 61 = 71 On the other hand, (48 + 61 + x) / 3 <= 69 (48 + 61 + x) / 3 = 69 x = 207 - 48 - 61 = 98 answer 60 <= (48 + 61 + x) / 3 <= 69 the range of scores Amaya you have to earn to get to D in Algebra is [71 - 98]
