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Practice Modeling Wildlife Sanctuary

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YOUR ASSIGNMENT: Wildlife Sanctuary You are designing a path for traveling to one of the animal habitats in the wildlife sanctuary. Which of the following regions did you choose? Lion Habitat Hippo... Habitat Elephant Habitat Make Sense of the Problem (3 Points: 1 Point for each answer) What do you know about the requirements for your two paths? 1st 1.5 kilometers from center of lion habitat 2nd equidistant from the center lion section to crocodile river. What do you want to find out? The shape of the driving paths and the equation for path two What kind of answer do you expect? Parabola path Making Sense of the Problem: Below is a graph that represents the wildlife sanctuary. The Crocodile River is represented by the line y = 4, and the center of each habitat is represented by a point. Analyze the Data: Path 1: You want path 1 to be a continuous distance of 1.5 km from the center of the habitat. 1. Path 1 represents what mathematical object? (1 point) Circle 1.5km 3. Draw a rough sketch of path 1 on your graph. (1 point) Double click on the graph above to sketch your path. 4. Will path 1 intercept the Crocodile River? (1 point) Use the Circle Tool on the activity page to help. No, because the circle goes only to 7.5 on the y-axis. 5. What is the maximum radius of path 1 before it intercepts the Crocodile River? Use the Circle Tool on the activity page to help. (1 point) Maximum radius = 5 km Path 2: You want path 2 to be equidistant from the Crocodile River and the habitat you chose. 6. Path 2 represents what mathematical object? (1 point) Parabola 7. What is the mathematical name for the object that is defined by the Crocodile River (1 point) [Show More]

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