Find the percent of change

1). 32 to 8

2.) 25 to 45

Show your work

1) (8-32) |32|*100 (8-32) |32|*100 = (8-32) |32| * 100 = (8-32) |32| * 100 = - 24 32 * 100 = - 24 32 * 100 = - 0.75*100 = - 0.75*100 = - 75%change = - 75%change = 75%decrease

2) (45-25) |25|*100 (45-25) |25|*100 = (45-25) |25| * 100 = (45-25) |25| * 100 = 2025 * 100 = 2025 * 100 = 0.8*100 = 0.8*100 = 80%change = 80%change = 80%increase

Hello there! To find the percent of change, we can write and solve a proportion. We would set it up as change/original = x/100, where change is the distance between two numbers, and original is the number we start from. Then, we cross multiply those values, isolate the variable, and get our answer. Let's do this by each question.

1. Okay. Let's find change. 32 - 8 is 24. 24 is the change. 32 is the original number. It's set up like this: 24/32 = x/100. Cross multiply diagonally now. 24 * 100 is 2,400. 32 * x is 32x. That gets us 2,400 * 32x. Now, divide each side by 32 to isolate the x. 32x/32 cancels out. 2,400/32 is 75. Because the original number goes down, this is a decrease. Put the percent sign behind 75. There. x = 75% decrease.

2. For this question, we repeat the same thing. Find the amount of change. 45 - 25 is 20. 20 is the change and 25 is the original number. It's set up as 20/25 = x/100. Cross multiply. 20 * 100 is 2,000. 25 * x is 25x. 2,000 = 25x. Now, divide each side by 25 to isolate the x. 25x/25 cancells out. 2,000/25 is 80. The original number goes up, so it is an increase. Put a percent sign with it. There. x = 80% increase.