While studying a 100 square mile area of jungle, a researcher finds 50 monkeys. Predict how many monkeys might inhabit a 1,500 square mile jungle.

1 answer

To estimate the number of monkeys in a 1,500 square mile jungle based on the data from a 100 square mile area, we can use a simple ratio.

In the 100 square mile jungle, there are 50 monkeys.

First, we can find the density of monkeys per square mile: \[ \text{Density} = \frac{\text{Number of monkeys}}{\text{Area}} = \frac{50 \text{ monkeys}}{100 \text{ square miles}} = 0.5 \text{ monkeys per square mile} \]

Next, we use this density to estimate the number of monkeys in a 1,500 square mile area: \[ \text{Estimated number of monkeys} = \text{Density} \times \text{Area} = 0.5 \text{ monkeys/square mile} \times 1500 \text{ square miles} = 750 \text{ monkeys} \]

Therefore, we can predict that there might be approximately 750 monkeys in a 1,500 square mile jungle.