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A breakfast cereal company guarantees the calorie

count shown for each serving is accurate within five percent. If the package shows a serving has 200 cal, write an inequality for the possible calories count



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Possible Calories Count C is within five % of the printed value P.
 P = 200 Calories
C is with in 5% of 200 cal
That means difference between P and C is less than 5% of P.
So C is within (100+5)/100 of P and  (100-5)/100  of P

So    95 P /100  <= C <= 105 P /100
         0.95 P <= C <= 1.05 C
substitute value of P
         0.95 *200 <= C <= 1.05*200
         190 Cal <= Count <= 210 cal

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