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1.7 Absolute Value Word Problems p.52 Ex: A manufacturer has a 0.6oz tolerance for a bottle of salad dressing advertised as 16oz. Write and solve an absolute value inequality that describes the acceptable volumes for “16oz” bottles. • Hint: If you want within the range, use If you want out of the range, use > actual amt. - ideal amt. tolerance x 16 0.6 What does this mean? 0.6 x 16 0.6 15.4 x 16.6 If you buy a bottle of 16oz dressing, you might get one that actually has 15.4 to 16.6oz instead. Ex: A city ordinance states that pools must be enclosed by a fence that is from 3 to 6 ft high. Write an absolute value inequality describing fences that don’t meet this ordinance. • How do you find the tolerance? tolerance=(high end)-(avg. of low & high ends) actual height - average height tolerance 3 6 h 6 4.5 2 h 4.5 1.5 Ex: A manufacturer has a tolerance of 0.36 lb for a bag of potting soil advertised as 9.6 lb. Write and solve an absolute value inequality that describes unacceptable weights for “9.6 lb” bags. actual weight - ideal weight tolerance w 9.6 0.36 w-9.6>0.36 w>9.96 or or w-9.6<-0.36 w<9.24 Assignment