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# Justin Moore has scores of 72, 67, 82, and 79 on his algebra tests.

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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

Jan 29, 2021

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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

Jan 29, 2021