Simon must maintain an average grade of 80% or better in his math class to be eligible to play sports. his math grade so far are 80%, 84%, 76%, 77% at this point his grades make him ineligible to play. what is the lowest he can score on the next grade to bring his average score up to 80%. wright and inequality to represent the average of the five grades as greater than or equal to 80%. use the inequality to prove what his lowest score could be on the fifth test.

Let x be the percentage score he got in fifth test,

According to the question,

His score in first, second, third and fourth test are 80%, 84%, 76% and 77% respectively,

Thus, the average of his total score in the five test,

=

But, Again according to the question,

The average of the five grades as greater than or equal to 80%

That is,

⇒

⇒

⇒

Thus, the least score he can get in the fifth test is 83.

16 is the absolute value

step-by-step explanation:

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol