Let x be the score the student needs to make on the EOC.
Her overall grade will be calculated as (4/5)*(85) + (1/5)*(x).
The inequality to find the possible score she will need to make on the EOC is:
80 ≤ (4/5)*(85) + (1/5)*(x) ≤ 90
Simplifying the inequality:
68 + (1/5)*(x) ≤ 90
Subtracting 68 from all parts of the inequality:
1/5*x ≤ 22
Multiplying both sides of the inequality by 5:
x ≤ 110
So the possible score the student will need to make on the EOC to get the average she wants for her final grade in the course is x ≤ 110.
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)
1 answer
1 answer