Questions: A species of animal decreased from 2950 in 1998 to 2280 last year. What is the percentage change?
Transcript text: A species of animal decreased from 2950 in 1998 to 2280 last year. What is the percentage change?
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Solution
Solution Steps
To find the percentage change, we need to calculate the difference between the initial and final values, divide this difference by the initial value, and then multiply by 100 to convert it to a percentage.
Step 1: Calculate the Change in Population
The change in population from 1998 to last year is given by:
\[
\text{Change} = \text{Final Population} - \text{Initial Population} = 2280 - 2950 = -670
\]
Step 2: Calculate the Percentage Change
The percentage change is calculated using the formula:
\[
\text{Percentage Change} = \left( \frac{\text{Change}}{\text{Initial Population}} \right) \times 100
\]
Substituting the values:
\[
\text{Percentage Change} = \left( \frac{-670}{2950} \right) \times 100 \approx -22.7119
\]
Final Answer
The percentage change in the population is approximately \\(\boxed{-22.71}\\).