Nepal wants to have at least 250 Bengal tigers, Panthera tigris tigris, within its borders by the year 2022. As of 2009, the population was 121 tigers. Naturalists have determined that 250 tigers would require 13 ,500 square kilometers of territory . How much territory, in square kilometers (km^2) , is needed for 121 tigers? square

To find out how much territory is needed for 121 tigers, we can use the concept of proportionality. The relationship between the number of tigers and the territory required is proportional. If 250 tigers require 13,500 square kilometers, then 121 tigers will require a smaller amount of territory.<br /><br />We can set up a proportion to solve for the unknown territory:<br /><br />\[<br />\frac{250 \text{ tigers}}{13,500 \text{ km}^2} = \frac{121 \text{ tigers}}{x \text{ km}^2}<br />\]<br /><br />Cross-multiplying to solve for \( x \):<br /><br />\[<br />250 \times x = 13,500 \times 121<br />\]<br /><br />\[<br />250x = 1,633,500<br />\]<br /><br />Dividing both sides by 250:<br /><br />\[<br />x = \frac{1,633,500}{250}<br />\]<br /><br />\[<br />x = 6,534<br />\]<br /><br />Therefore, 121 tigers would require 6,534 square kilometers of territory.