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.

Answer 1

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Answer 2

A: The points (0,500) represents an initial available territory of 50,000 acres.

E: The graph is descending, indicating that the amount of available territory is decreasing over time.

Explanation:

(0,500) is y-intercept of the graph. y-intercept when x-axis value become 0.

Here x-axis represent time (in year). In (0,50) time =0, It means initial time.

y-axis represent avaiable territory (hundreds of acres). In (0,50) Avaiable teriritory = 50 hundred acres. It means initial available territory would be 50,000 acres. So, The points (0,500) represents an initial available territory of 50,000 acres.

In graph, we can see decreasing graph because as x-axis values increasce value of y-axis decrease. When time increases the amount of avaiable territory is decreasing. So, The graph is descending, indicating that the amount of available territory is decreasing over time.