The correct compound inequality is:
80 ≤ 85 + 85 + 85 + 85 + x/5 ≤ 90
Simplifying, we have:
320 ≤ 340 + x/5 ≤ 360
Subtracting 340 from all three parts of the compound inequality, we get:
-20 ≤ x/5 ≤ 20
Multiplying all three parts of the inequality by 5, we have:
-100 ≤ x ≤ 100
Therefore, the student needs to score between -100 and 100 on the EOC to achieve her desired average.
A student scored 85 in her Algebra class before she took the End of Course Exam (the EOC). The student wants her average to be between 80 and 90 inclusive after her EOC is entered into her grades. The EOC counts 1/5 of her overall grade and her class average counts 4/5 of her grade. Write and solve a compound inequality to find the possible score she will need to make on the EOC to get the average she wants for her final grade in the course.(1 point)
Responses
90 <85 + 85 +85 +85 + x5 < 80
; 110 < x < 85
90 <85 + 85 +85 +85 + x5 < 80
; 110 < x < 85
80 ≤85 + 85 +85 +85 + x5 ≤ 90
; 85 ≤ x ≤ 110
80 ≤85 + 85 +85 +85 + x5 ≤ 90
; 85 ≤ x ≤ 110
80 <85 + 85 +85 +85 + x5 < 90
; 85 < x < 110
80 <85 + 85 +85 +85 + x5 < 90
; 85 < x < 110
90 ≤85 + 85 +85 +85 + x5 ≤ 80
; 110 ≤ x ≤ 80
1 answer
1 answer