05+Percent+Change

Section 3-7

__Percent of Change__ When increase or decrease is expressed as a percent, it is the Percent of Change.

The equation for percent of change is: __amount of change__ = __x__ original 100

To find the percent of change using original and new follow these steps: __Example 1:__ Find the percent of change Original: 25 Original: 30
 * 1) Find the amount of change by subtracting the original by the new if the new amount is greater than the original it is a increase and vice-versa.
 * 2) Put the amount of change over the original price and set it equal to x over 100.
 * 3) Solve.

Step 1: 28-25 = 3 <-- amount of change

Step 2: __3__= __x__ 25 100

Step 3: (25)x = 3(100) 25x = 300 __25x__ = __300__ 25 25 x= 12 percent of increase is 12%

SALES TAX: percent of change is applied in real life situations such as sales tax. Sales tax is a tax that is added to the cost of the purchase. It is an example of percent of increase.



DISCOUNT:   A discount is reducing the price or value of an object or item.

Follow these steps to find the discount of an item: 1 establish what the original price is and what percent you have off

2 multiply the original price by the discount

3 subtract your original price by the product you just found when you multiplies the original price by the percent you have off

4 Label your answer with a $ sign at the beginning of your answer.

EXAMPLE:

Mike bought a Nike Football at Sports Authority. The football costs $30 and there is a discount of 20%. How much will Mike have to pay for the football?

1 Original price- $30 Discount- 20%

2 $30.00 x .20% $6.00

3 $ 30.00 - $6.00 $24.00

4 FINAL PRICE: $ 24.00