1. Percent of Change Increase (Mark-Up)

2. Warm-Up Over the years, some prices increase. Study the change in gasoline prices from 1930 to 1960. Price of a Gallon of Gasoline YearPrice 193010¢ 194015¢ 195020¢ 196025¢ 1. How much did the price increase from 1930 to 1940? 2. Write the ratio amount of increase to price in 1930. Then write the ratio as a percent. 3. How much did the price increase from 1940 to 1950. Write the ratio amount of increase to price in 1940. Then write the ratio as a percent.

3. Percent of Change The percent that an amount changes from its original amounts is called the percent of change. El porcentaje que una cantidad cambia de su valor de origen se conoce el porcentaje de cambio. Record in your Math Journal on page P:

4. Percent of Change To find the percent of change, do the following: Step 1Subtract to find the amount of change. Step 2Write the ratio as a decimal. Step 3Write the decimal as a percent. Paso 1Resta para encontrar la cantidad de cambio. Paso 2 Escriba la relación como un decimal. Paso 3 Escribe el decimal como un porcentaje. amount of change original amount Record in your Math Journal on page P: cantidad de cambio cantidad original

5. Increase or Decrease When the new amount is greater than the original, the percent of change is a percent of increase. Cuando la nueva cantidad es mayor que el original, el porcentaje de cambio es un porcentaje de aumento.

6. Increase or Decrease When the new amount is less than the original, the percent of change is called a percent of decrease. Cuando la nueva cantidad es menor que el original, el porcentaje de cambio se llama un porcentaje de disminución.

7. Find the Percent of Change The Science Club had 25 members. Now it has 30 members. Find the percent of change. State whether the change is an increase or decrease. Step 1The amount of change is 30 – 25 or 5. Step 2percent of change = = = 0.2 Step 3The decimal 0.2 written as a percent is 20%. So the percent of change is 20%. Since the new number of members is greater than the original, it is a percent of increase. amount of change original amount 5 25

8. Example Problem Find each percent of change. Round if necessary. Original: 6 hoursNew: 10 hours

9. Example Problem Find each percent of change. Round if necessary. Original: 50 carsNew: 80 cars

10. Selling Price A store sells an item for more than it paid for that item. The extra money is used to cover the expenses and to make a profit. The increase in the price is called the markup. The percent of markup is a percent of increase. The amount the customer pays is called the selling price.

11. Find the Selling Price Kassidi is selling some embroidered jackets on a website. She wants to price the jackets 25% over her cost, which is $35. Find the selling price of the jackets. Calculate the Percent: 25% of $35 = $8.75 Add to Original: $35 to $8.75 Selling Price = $43.75 The selling price of the jacket is $43.75

12. Example Problem Find the selling price for each item given the percent of markup. digital camera: $120, 55% markup 100% = 50% = 25% = 10% = 5% = 1% =

13. Example Problem Find the selling price for each item given the percent of markup. sunglasses: $7, 30% markup 100% = 50% = 25% = 10% = 5% = 1% =

14. Example Problem Find the selling price for each item given the percent of markup. dress: $60, 45% markup 100% = 50% = 25% = 10% = 5% = 1% =

15. Example Problem Find the selling price for each item given the percent of markup. tablet: $300, 30% markup 100% = 50% = 25% = 10% = 5% = 1% =

16. Up Next… Activity 1: Percent of Change: Increase