Question

Search and Rescue Teams are often called upon to find lost hikers in remote areas of the Southwest. Members of the search team walk parallel to one another at a fixed distance d between searchers through the area being searched. The team's chance of finding the lost person is related to the distance d of separation. The closer together the searchers are, the better the chances of success. Based on a number of previous searches, the following data was found to be approximately true: If d = 24 ft., P (the probability of success) = 85%. If d = 56 feet, P = 45%.
A) What is the dependent variable?
B) What is the independent variable?
C) Write the equation of the function that relates these two variables.
D) If the team is satisfied with a success rate of 75%, how many feet apart should the searchers be?

Answer

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