Size Golf Bag
Size Golf Bag
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3 inequality questions?
1. when sphere-r-us ships bags of gold balls, each bag must contain 800 balls, plus or minus 7 balls. identify the inequality which represents an acceptable number of golf balls in each bag.
2. when manufacturing 15/16-inch bolts the difference between the size of the bolt and 15/16 inch must be at most 3/100 inch to be acceptable. write an inequality for the acceptable size of bolts using "b" for the bolt size.
3. for a door to meet specifications at a carpentry shop the width must be within 1/2 inch of the expected width of the door. the shop gets an order for doors that are 4 feet wide. which of the following is an inequality that expresses the range of widths for acceptable doors?
please help!!
In general, solve these in this way:
Take the specification, then add and subtract the tolerance. Then, for some value x,
specification - tolerance <= x <= specification + tolerance.
--
1. Let b = the number of balls per bag. Then,
800 - 7 <= b <= 800 + 7
793 <= b <= 807
2. 15/16 - 3/100 <= b <= 15/16 + 3/100
113/400 <= b <= 137/400
3. Let w = the width of a door.
Then, the width must be within 1/2 inch of 4 feet, so
4 feet - 1/2 inch <= w <= 4 feet + 1/2 inch
3 feet, 23/24 inches <= w <= 4 feet, 1/2 inch
(or)
3 feet, 11 1/2 inches <= w <= 4 feet, 1/2 inch
