Question

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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
population is always positive.
the practical domain is y>0, so there will
always be some available territory.
the point (0,500) represents an initial
available territory of 50,000 acres.

Explanation:

• The graph's descending nature shows a decrease in available territory over time.
• The point \((45,50)\) is misinterpreted; in a coordinate \((x,y)\), \(x = 45\) (years) and \(y=50\) (available territory units, not acres as stated).
• The practical range \(y>0\) means the available territory (related to tiger population habitat) is always positive.
• The practical domain is \(x>0\) (time), not \(y > 0\).
• The point \((0,500)\) means at \(x = 0\) (initial time), \(y = 500\) (available territory units, not 50,000 acres).

Answer:

• The correct interpretations:
• The graph's descent shows available territory decrease over time.
• For the point \((45,50)\): \(x = 45\) (years), \(y = 50\) (units of available territory).
• Practical range \(y>0\) (available territory always positive).
• Practical domain \(x>0\) (time starts from \(x = 0\)).
• Point \((0,500)\): At \(x = 0\), \(y = 500\) (units of available territory).