Let x be the score the student needs to make on the EOC.
The student's overall grade will be 1/5*x + 4/5*85.
The inequality for the student's average grade is 80 <= (1/5*x + 4/5*85) <= 90.
Multiply equation by 5 to remove the fraction: 400 <= x + 4*85 <= 450.
Simplify the equation: 400 <= x + 340 <= 450.
Subtract 340 from all sides: 60 <= x <= 110.
The possible score the student needs to make on the EOC is between 60 and 110 inclusive. Answer: \boxed{60 \le x \le 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)
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