Sec 3.5 Increase and Decrease Problems
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Transcript of Sec 3.5 Increase and Decrease Problems
Sec 3.5 Increase and Decrease Sec 3.5 Increase and Decrease ProblemsProblems
• Objectives–Learn to identify an increase or
decrease problem.–Apply the basic diagram for
increase or decrease problems.–Use the basic percent formula to
solve increase or decrease problems.
Increase ProblemsIncrease Problems
The part equals 100% of the base plus some portion of the base.
Phrases such as after an increase of,
Increase ProblemsIncrease Problems
The part equals 100% of the base plus some portion of the base.
Phrases such as after an increase of, more than,
Increase ProblemsIncrease Problems
The part equals 100% of the base plus some portion of the base.
Phrases such as after an increase of, more than, or greater than
Increase ProblemsIncrease Problems
The part equals 100% of the base plus some portion of the base.
Phrases such as after an increase of, more than, or greater than often indicate an increase problem.
Increase ProblemsIncrease Problems
The part equals 100% of the base plus some portion of the base.
Phrases such as after an increase of, more than, or greater than often indicate an increase problem.
The basic formula for an increase problem is:
Increase ProblemsIncrease Problems
The part equals 100% of the base plus some portion of the base.
Phrases such as after an increase of, more than, or greater than often indicate an increase problem.
The basic formula for an increase problem is:Original value + Increase = New Value
Example 1Example 1Base Rate of Part
Inc. (after Inc.)???? 20% $660
Base plus some portion of the base equals $660.
R x B = PHence, R = 120% P = $660 B = ??? Thus, P $660 $660B = ----- = ---------- = ----------- = $550 R 120% 1.2
So if we take 100% of the base ($550) + 20% of the base ($110) we get $660 (part).
Decrease ProblemsDecrease Problems
The part equals 100% of the base minus some portion of the base.
Phrases such as after a decrease of,
Decrease ProblemsDecrease Problems
The part equals 100% of the base minus some portion of the base.
Phrases such as after a decrease of, less than,
Decrease ProblemsDecrease Problems
The part equals 100% of the base minus some portion of the base.
Phrases such as after a decrease of, less than, or after a reduction of
Decrease ProblemsDecrease Problems
The part equals 100% of the base minus some portion of the base.
Phrases such as after a decrease of, less than, or after a reduction of often indicate a decrease problem.
Decrease ProblemsDecrease Problems
The part equals 100% of the base minus some portion of the base.
Phrases such as after a decrease of, less than, or after a reduction of often indicate a decrease problem.The basic formula for a decrease problem is:
Decrease ProblemsDecrease Problems
The part equals 100% of the base minus some portion of the base, yielding a new value.
Phrases such as after a decrease of, less than, or after a reduction of often indicate a decrease problem.
The basic formula for a decrease problem is: Original Value - Decrease = New Value
ExampleExample 2 2
The sale price of a new Palm Pilot, after a 15% decrease, was $98.38. Find the price of the Palm Pilot before the decrease.
ExampleExample 2 2
Base Rate of Part Dec. (after Dec.)
??? 15% $98.38
Base minus some portion of the base equals $98.38.
85% of Base = $98.38 R x B = P
Hence, R = 85% P = $98.38 B = ???Thus, P $98.38 $98.38B = ----- = ---------- = ----------- = $115.74 R 85% 0.85
So, if we take 100% of the base ($115.74) minus 15% of the base ($17.36) we get $98.38.