What is the percent of change from 5,000 to 900?
Understand the Problem
The question is asking to calculate the percent of change from an initial value of 5,000 to a final value of 900. This involves finding the difference between the two values, dividing by the initial value, and then expressing the result as a percentage. Since the final value is less than the initial value, we expect a percentage decrease.
Answer
C) 82% decrease
Answer for screen readers
C) 82% decrease
Steps to Solve
- Calculate the amount of change
To find the amount of change, subtract the final value from the initial value. Amount of Change = Initial Value - Final Value $Amount \ of \ Change = 5000 - 900 = 4100$
- Calculate the percent of change
Divide the amount of change by the initial value, and then multiply by 100 to express the result as a percentage. $Percent \ of \ Change = \frac{Amount \ of \ Change}{Initial \ Value} \times 100$ $Percent \ of \ Change = \frac{4100}{5000} \times 100$
- Simplify the fraction
Simplify the fraction $\frac{4100}{5000}$ to $\frac{41}{50}$ $Percent \ of \ Change = \frac{41}{50} \times 100$
- Calculate the percentage
Multiply the simplified fraction by 100. $Percent \ of \ Change = 0.82 \times 100 = 82%$
- Determine if it's an increase or decrease
Since the final value (900) is less than the initial value (5000), this is a decrease.
C) 82% decrease
More Information
The percent of change from 5,000 to 900 is a decrease of 82%. This means the final value is 82% less than the initial value.
Tips
A common mistake is to divide by the final value instead of the initial value when calculating the percent of change. Also, forgetting to multiply by 100 to convert the decimal to a percentage is another common mistake.
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