Amaya's test scores in Algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 80-89 inclusive. Write a compound inequality to represent the situation
Accepted Solution
A:
Let x be the score Amaya gets on the final test. She wants her average of all 3 tests to be between 80 and 89:
80 ≤ (78 + 91 + x) / 3 ≤ 89
Multiply everything by 3: 240 ≤ 78 + 91 + x ≤ 267 240 ≤ 169 + x ≤ 267
Subtract 169 from everything: 240 - 169 ≤ x ≤ 267 - 169 71 ≤ x ≤ 98
Answer: She needs to score between 71 and 98 to get a B for the course.