10 gallons to 24 gallons
Find the percent of change
The Correct Answer and Explanation is :
To calculate the percent change from 10 gallons to 24 gallons, we use the following formula:
[
\text{Percent Change} = \left( \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \right) \times 100
]
Here:
- The old value is 10 gallons.
- The new value is 24 gallons.
Step 1: Subtract the old value from the new value.
[
24 – 10 = 14
]
Step 2: Divide the difference by the old value.
[
\frac{14}{10} = 1.4
]
Step 3: Multiply the result by 100 to convert to a percentage.
[
1.4 \times 100 = 140\%
]
Explanation:
The percent change represents how much something has increased or decreased as a percentage of the original value. In this case, the change is an increase, as the number of gallons increased from 10 to 24.
- The old value of 10 gallons was the starting point.
- The new value of 24 gallons is the final amount.
- The difference (or change) between the new and old values is 14 gallons (24 – 10).
- To find the percent change, we divide the change (14 gallons) by the original amount (10 gallons) to get 1.4, and then multiply by 100 to express it as a percentage.
- This gives us a percent change of 140%.
This means the quantity increased by 140% from the original 10 gallons, or in other words, the new value is 2.4 times the original value (since 100% + 140% = 240%, and 24 gallons is 2.4 times 10 gallons). The large percent change indicates a substantial increase in the quantity.
Understanding percent change is important for interpreting the degree of increase or decrease in various contexts, whether it’s for business, population growth, or any number of other applications. In this case, the change reflects a substantial rise in the volume of gallons.