- Identify the initial value \(450\) and the final value \(600\).
- Calculate the increase: \(600 - 450 = 150\).
- Find the ratio of the increase to the initial value: \(\frac{150}{450} = \frac{1}{3}\).
- Convert to a percentage: \(\frac{1}{3} \times 100 \approx 33.33\%\), which corresponds to option \(\boxed{c}\).
Explanation
- Analyzing the Problem
To determine the percent increase from the initial value to the final value, we first identify the given data:
- The initial value is \(450\).
- The final value is \(600\).
The percent increase represents the growth of a value in relation to its original state, expressed as a percentage. It is calculated by dividing the increase by the original value and multiplying the result by \(100\).
- Calculating the Percent Increase
Calculate the absolute increase in value by subtracting the initial count from the final count:
\[600 - 450 = 150\]
Now, determine the fractional increase by dividing this difference by the original value:
\[\frac{150}{450}\]
Simplify this fraction:
\[\frac{150}{450} = \frac{15}{45} = \frac{1}{3}\]
To express this as a percentage, multiply by \(100\):
\[\frac{1}{3} \times 100 \approx 33.33\%\]
Comparing this result to the provided options, it matches the approximation in option (c).
- Conclusion
The percent increase from \(450\) to \(600\) is approximately \(33.33\%\). Based on the given options, the correct answer is \(33\%\). Hence, the answer is \(\boxed{c}\).
Examples
Percent increase is essential for tracking growth in various real-life scenarios. For instance, if a store tracks their monthly sales, they can use this calculation to see how much their revenue has grown compared to the previous month. If sales went from \(\$450\) to \(\$600\), knowing the percent increase helps business owners understand their success rate and plan for future inventory or staffing needs.