Question

ratios, rates, and proportions: medium
google classroom microsoft teams
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 (km²), is needed for 121 tigers?
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Explanation:

Step1: Set up proportion

Let $x$ be the territory needed for 121 tigers. Since the ratio of tigers to territory is proportional, we have $\frac{250}{13500}=\frac{121}{x}$.

Step2: Cross - multiply

$250x = 121\times13500$.

Step3: Solve for $x$

$x=\frac{121\times13500}{250}$. First, calculate $121\times13500 = 1633500$. Then, $x=\frac{1633500}{250}=6534$.

Answer:

6534