Exercise 30% Express the ratio as a percent.

25% Express the ratio as a percent. Exercise

30 What is 60% of 50? Exercise

60% of what number is 150? 250 Exercise

What percent of 50 is 150? 300% Exercise

Determine next year’s sales goal, N, if the company wants to increase this year’s sales of $250,000 by 15%. N = $287,500 The goal is 115% of last year’s sales. N = 1.15(250,000) Example 1

Percent Change Formula percent change = amount of change original amount x 100%

Finding the Percent Change 1.Subtract to find the amount of change. 2.Divide the amount of change by the original amount.

Finding the Percent Change 3. Convert the quotient to a percent and indicate whether it is an increase or a decrease.

What is the percent change from 75 to 100? 100 – 75 = 25 change original == = 0.3 The percent change is a 33.3% increase. Example 2

Find the percent change. Round to the nearest whole percent. 29% original amount: 42 new amount: 54 Example

Find the percent change. Round to the nearest whole percent. 49% original amount: 150 new amount: 224 Example

Find the percent change. Round to the nearest whole percent. 17% original amount: 1,080 new amount: 900 Example

Find the percent change, to the nearest whole percent, from 19 to 16. Indicate whether it is an increase or a decrease. 19 – 16 = ≈ 0.16 = 16% decrease Example 3

Find the percent change from 2,400 to 2,650. Indicate whether it is an increase or decrease. Round to the nearest whole percent. 10% increase Example

Find the percent change from 13 to 18. Indicate whether it is an increase or decrease. Round to the nearest whole percent. 38% increase Example

Find the percent change from 144 to 120. Indicate whether it is an increase or decrease. Round to the nearest whole percent. 17% decrease Example

Last year Mrs. Rutherford’s homeroom sold 56 cartons of candy bars. This year her homeroom sold 80 cartons. What was the percent change? Give the answer to the nearest tenth of a percent. Example 4

Last year Mrs. Rutherford’s homeroom sold 56 cartons of candy bars. This year her homeroom sold 80 cartons. = 42.9% increase ≈ – 56 = 24

Dillon has 65 baseball cards and Joseph has 50. Dillon has what percent more than Joseph? Joseph has what percent less than Dillon? 65 – 50 = 15 Example 5

Dillon has 65 baseball cards and Joseph has 50. Dillon has 30% more cards than Joseph. Joseph has 23% less than Dillon = 30% == ≈ 0.23 = 23%

Find the percent change in the following problems. Indicate whether it is an increase or a decrease. Round to the nearest whole percent. Example

Caleb earned $225 per week waiting on tables at a restaurant last summer. This year he earned $305 per week. 36% increase Example

A couple bought a new car for $18,995 three years ago. They just sold it for $8, % decrease Example

Mr. Fremont’s homeroom brought in 14,000 lb. of nonperishables last year in the food drive. This year they brought in 16,500 lb. 18% increase Example

Seth bought a guitar on sale for $250. It had been reduced from $ % decrease Example