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WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE- GATE. THE NFL RULES SAY THAT THE FOOTBALLS MUST BE INFLATED TO 13 PSI +/- .5 PSI. WRITE AN ABSOLUTE VALUE INEQUALITY TO SHOW ALL OF THE POSSIBLE INFLATION LEVELS USING ABSOLUTE VALUE. SOLVE THE INEQUALITY AND GRAPH TO SHOW ALL LEGAL INFLATION LEVELS.

WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

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Page 1: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

WARM-UP•THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF

CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS MUST BE INFLATED TO 13 PSI +/- .5 PSI. WRITE AN ABSOLUTE VALUE INEQUALITY TO SHOW ALL OF THE POSSIBLE INFLATION LEVELS USING ABSOLUTE VALUE. SOLVE THE INEQUALITY AND GRAPH TO SHOW ALL LEGAL INFLATION LEVELS.

Page 2: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

HOMEWORK REVIEW

Page 3: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

HOMEWORK REVIEW

Page 4: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

HOMEWORK REVIEW

Page 5: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

SOLVING

ABSOLUTE VALUE INEQUALITIES

5.6 DAY 2

Page 6: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

ABSOLUTE DEVIATION

•SIMPLY MEANS HOW MUCH A VALUE IS ALLOWED TO VARY FROM A SPECIFIED NUMBER KNOWN AS THE INDEX.

•ABSOLUTE DEVIATION PROBLEMS LOOK LIKE THIS:

• |X – INDEX| < ABSOLUTE DEVIATION

Page 7: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

EXAMPLE•YOU ARE BUYING A NEW COMPUTER AND FIND 10 MODELS IN

A STORE ADVERTISEMENT. THE PRICES ARE $890, $750, $650, $370, $660, $670, $450, $650, $725, AND $825. YOU ARE WILLING TO PAY THE MEAN PRICE OF THESE COMPUTERS WITH AN ABSOLUTE DEVIATION OF $100. WHAT PRICES ARE YOU WILLING TO PAY? HOW MANY OF THESE COMPUTERS FALL WITHIN YOUR PRICE RANGE?

Page 8: WARM-UP THE NFL’S NEW ENGLAND PATRIOTS WERE ACCUSED OF CHEATING BY DEFLATING THEIR BALLS. THIS WAS KNOWN AS DEFLATE-GATE. THE NFL RULES SAY THAT THE FOOTBALLS

HOMEWORK

•PG 344 #35 - 37