What is the percent of increase from 5 to 6?
The Correct Answer and Explanation is:
To find the percent increase from 5 to 6, we can use the following formula:
[
\text{Percent Increase} = \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \times 100
]
Step 1: Identify the old and new values
- Old Value = 5
- New Value = 6
Step 2: Subtract the old value from the new value
[
6 – 5 = 1
]
Step 3: Divide the difference by the old value
[
\frac{1}{5} = 0.2
]
Step 4: Multiply by 100 to get the percentage
[
0.2 \times 100 = 20\%
]
Final Answer:
The percent increase from 5 to 6 is 20%.
Explanation:
The concept of percent increase is a way to express the change in a quantity relative to its original value as a percentage. In this case, the original value (Old Value) is 5, and the new value (New Value) is 6. To calculate the percent increase, you first find the difference between the two values, which tells you how much the quantity has increased.
Next, this difference is divided by the original value (5) to calculate the proportional change relative to the original amount. Dividing gives a decimal (0.2 in this case), which represents the increase as a fraction of the original value. Finally, to express this as a percentage, you multiply by 100.
Percent increase is commonly used in various fields such as economics, finance, and mathematics to measure growth or changes in quantities like prices, salaries, populations, or even exam scores. By converting the change into a percentage, you provide a clearer, standardized way to communicate the magnitude of that change, regardless of the initial value. This is useful because percentages are easy to compare and understand across different contexts.