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Occupational Testing. An employment agency requires applicants average at least $70 \%$ on a battery of four job skills tests. If an applicant scored $70 \%, 74 \%,$ and $84 \%$ on the first three exams, what must he score on the fourth test to maintain a $70 \%$ or better average?
$n \geqslant 527$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 7
Solving Inequalities
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
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and employment agency requires applicants average at least a 70% on four different job skills test. If an applicant scored already a 70% a 74% in an 84% on the 1st 3 exams, what must he score on the fourth test to maintain a 70% or better average? So the current scores are 70% 74% in 84%. We do not know what the value of the fourth test is, so let's say that's X. What we do know is the average of all four test scores must be 70% or better, so we can represent this using an inequality. The average of the four test scores 70 plus 74 plus 84 plus X divided by four because there's four tests needs to be greater than or equal to 70%. So let's solve this inequality First. Combining the light terms in the numerator 70 plus 74 plus 84 is 228 plus X divided by four is greater than or equal to 70. Next, we want to undo the division of four using the inverse operation of division, which is to multiply. So let's multiply both sides of the inequality by four, and this will leave us with 228 plus X is greater than or equal to 280. And finally, to determine what the value of this fourth test score has to be, we can subtract 228 from both sides. Toe isolate X X is greater than or equal to 52 so this employee applicant must score better than a 52% on this fourth test in order to maintain the 70% average 52% or better.
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