What is the percent of increase from 6 to 9? Write your answer using a percent sign (
The Correct Answer and Explanation is:
To calculate the percent increase from 6 to 9, we follow these steps:
Step 1: Find the difference between the two numbers.
First, subtract the original number (6) from the new number (9).9−6=39 – 6 = 39−6=3
This means the increase in value is 3 units.
Step 2: Divide the difference by the original number.
Now, divide the difference (3) by the original number (6).36=0.5\frac{3}{6} = 0.563=0.5
Step 3: Convert the result into a percentage.
To convert the result into a percentage, multiply by 100.0.5×100=500.5 \times 100 = 500.5×100=50
Thus, the percent increase from 6 to 9 is 50%.
Explanation:
The percent increase measures how much a value has grown relative to its original value. In this case, you started with 6 and increased to 9. The increase of 3 units represents a 50% increase when compared to the original value of 6. By expressing the change in percentage, we can better understand how significant the increase is in relation to the initial number.
In many real-world applications, calculating percent increases is important for understanding things like sales growth, price hikes, or changes in population. The formula for percent increase is:Percent Increase=(New Value−Old ValueOld Value)×100\text{Percent Increase} = \left( \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \right) \times 100Percent Increase=(Old ValueNew Value−Old Value)×100
This formula ensures you can express the change as a percentage, which standardizes comparisons across different contexts.
