Justin Moore has scores of 72, 67, 82, and 79 on his algebra tests.
A. Use an inequality to find the scores he must make on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two tests.
B. Explain the meaning of the answer to part a
It's equality and i have to graph it
Let the final score = x......but it counts as two tests, so the number of points added to the t other scores will = 2x
Number of total ponts / number of tests > 77 so
(72 + 67 + 82 + 79 + 2x ) / 6 > 77 multiply both sides by 6
72 + 67 + 82 + 79 + 2x > 462
300 + 2x > 462
2x > 462 -300
2x > 162 divide by 2
x > 81 he must make more than an 81 on the final
The inequality is 81 < x ≤ 100 (assuming that the greatest score possible is 100 )
Graph of the inequality : https://www.desmos.com/calculator/arznhdoq86