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Sec 3.5 Increase and Decrease Problems PowerPoint Presentation

Sec 3.5 Increase and Decrease Problems

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Sec 3.5 Increase and Decrease Problems

- 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 Problems

The part equals 100% of the base plus some portion of the base.

Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of,

Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of, more than,

Increase 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 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 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 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 1

Base Rate of Part

Inc. (after Inc.)

???? 20% $660

Base plus some portion of the base equals $660.

????

100% of Base + 20% of Base = $660

120% of Base = $660

Hence, R = 120%

P = $660

B = ???

Thus,

P $660 $660

B = ----- = ---------- = ----------- = $550

R 120% 1.2

So if we take 100% of the base ($550) + 20% of the base ($110) we get $660 (part).

Decrease Problems

The part equals 100% of the base minus some portion of the base.

Decrease Problems

The part equals 100% of the base minus some portion of the base.

Phrases such as after a decrease of,

Decrease Problems

The part equals 100% of the base minus some portion of the base.

Phrases such as after a decrease of, less than,

Decrease 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 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 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 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

Example 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.

Example 2

Base Rate of Part

Dec. (after Dec.)

??? 15% $98.38

Base minus some portion of the base equals $98.38.

(Part)

100% of Base - 15% of Base = $98.38

85% of Base = $98.38

R x B = P

R x B = P

Hence, R = 85%

P = $98.38

B = ???

Thus,

P $98.38 $98.38

B = ----- = ---------- = ----------- = $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.

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