Type the correct answer in the box. Round your answer to the nearest whole number.
What's the percentage of organisms that survived?
A natural disaster caused a population of 4,695 organisms to migrate to a new habitat. A few generations after the disaster, it was observed that the new habitat did not support the survival of the species. The table shows the population of the species in the two habitats.
| Original Habitat | New Habitat |
|------------------|-------------|
| 4,695 | 2,326 |
Based on the table, the population in the new habitat is about $\square$ percent of the original population.
Answer (2)
Divide the new habitat population by the original population: 4695 2326 .
Multiply the result by 100 to express it as a percentage: 4695 2326 × 100 ≈ 49.542 .
Round the percentage to the nearest whole number: 49.542 ≈ 50 .
The population in the new habitat is about 50 percent of the original population.
Explanation
Understanding the Problem We are given the original population of organisms as 4,695 and the population in the new habitat as 2,326. We need to find the percentage of organisms that survived in the new habitat compared to the original population.
Calculating the Percentage To find the percentage, we will divide the new habitat population by the original population and then multiply by 100. This will give us the percentage of organisms that survived.
Setting up the Calculation The percentage of organisms that survived is calculated as follows: Original Population New Habitat Population × 100 Substituting the given values: 4695 2326 × 100
Performing the Calculation Calculating the value: 4695 2326 × 100 ≈ 49.542
Rounding the Result We are asked to round the answer to the nearest whole number. Therefore, rounding 49.542 to the nearest whole number gives us 50.
Final Answer Therefore, the population in the new habitat is approximately 50 percent of the original population.
Examples
Imagine you are tracking the survival rate of a plant species after a forest fire. Initially, there were 5,000 plants, but after the fire, only 2,500 survived. Calculating the percentage of surviving plants helps you understand the impact of the fire on the plant population. In this case, the survival rate is 50%, indicating a significant loss but also showing that half of the plants were resilient enough to survive. This kind of calculation is crucial in environmental studies for assessing the effects of natural disasters on ecosystems.
The population of organisms that survived in the new habitat is approximately 50 percent of the original population. This is calculated by dividing the new population of 2,326 by the original population of 4,695 and then multiplying by 100. After rounding, the final percentage is 50.
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