Question

the amount of space available to tigers in a wildlife refuge changes as the population changes. the graph shows the available territory in a tiger wildlife refuge as a function time since the refuge opened. which statements are true about the function? select each correct answer. the graph is descending, indicating that the amount of available territory is decreasing over time. the point (45,50) indicates that after 50 years, there will be 4500 acres of available territory. the practical range is y>0, so the tiger

Explanation:

• For the first statement: In a graph, if it is descending (going down from left - to - right), as \(x\) (time) increases, \(y\) (available territory) decreases. Here, as time (\(x\)) passes, the value of available territory (\(y\)) is getting smaller. So, the statement "The graph is descending, indicating that the amount of available territory is decreasing over time" is True.
• For the second statement: In the coordinate \((x,y)\), \(x\) represents time (in years) and \(y\) represents available territory (in hundreds of acres). For the point \((45,50)\), \(x = 45\) means 45 years and \(y=50\) means \(50\times100=5000\) acres (not 4500 acres). So, the statement "The point \((45,50)\) indicates that after 50 years, there will be 4500 acres of available territory" is False.
• For the third statement (assuming it was supposed to be \(y>0\)): In the context of available territory, the amount of territory cannot be negative. The \(y\) - axis represents available territory (in hundreds of acres), and since territory is a non - negative quantity (you can't have negative land for tigers in a practical sense), the range \(y > 0\) (where \(y\) is the amount of available territory) makes sense.

Answer:

The graph is descending, indicating that the amount of available territory is decreasing over time. (True)
The point \((45,50)\) indicates that after 50 years, there will be 4500 acres of available territory. (False)
If the statement is “The practical range is \(y>0\)”: True.