Question
1. Find the percent change a. From 80 to 100 b. From 800 to 500
Ask by Hills Park. in Ethiopia
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. The percent change from 80 to 100 is a 25% increase.
b. The percent change from 800 to 500 is a 37.5% decrease.
Solution
To calculate the percent change, we use the formula:
Percent Change = [(New Value − Old Value) / Old Value] × 100
a. From 80 to 100:
Change = 100 − 80 = 20
Percent Change = (20 / 80) × 100 = 25%
This indicates a 25% increase.
b. From 800 to 500:
Change = 500 − 800 = -300
Percent Change = (-300 / 800) × 100 = -37.5%
This indicates a 37.5% decrease.
So, the percent changes are:
a. 25% increase
b. 37.5% decrease.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find the percent change, you can use the formula: Percent Change = (New Value - Old Value) / Old Value * 100. For the first one, going from 80 to 100, it’s (100 - 80) / 80 * 100 = 25%. For the second, going from 800 to 500, it’s (500 - 800) / 800 * 100 = -37.5%. So, we see that the first scenario shows a positive growth, while the second is a decline. It’s always useful to clearly distinguish between positive and negative changes, as they tell different stories about growth and decline! Percent change can help businesses understand market trends, while individuals can track their personal finance progress.
