Homework 2.2 Graphs of Functions lan is going surfing at Goat Island. Alan lives
ID: 3138145 • Letter: H
Question
Homework 2.2 Graphs of Functions lan is going surfing at Goat Island. Alan lives on the beach in a house that is 800 yards down the beach from where he could paddle straight out to the surf break. The surf break is 400 yards straight out from shore. Alan walks along shore at a rate of 40 yards per minute and he paddles his surfboard at a rate of 30 yards per minute 6. Coat bland surf break Write an equation for the total time, T, that it takes for Alan to get to the surf break as function of x a) Ocean 400 yad Alan's house b) What is the domain of T? The Robinson and Barrett Oil Company wants to build a distribution center on an established, straight pipeline that runs near three cities as shown. Pipe will be run in a straight line from the distribution center to each city. Write an equation for the total length of pipe as a function of x, the distance from point P to the distribution center. 7. City B 10 mi 12 mi 23 mi City A City C 611PaExplanation / Answer
Ans 6:
Speed = Distance / Time ==> Time = Distance / Speed
Time for which Alan paddles = x / 30
Time for which Alan walks = 2x / 40
Total time taken by Alan = T(x) = 2x / 40 + x / 30.
Domain of T is the value x can take. In the given case, x = 400.
Domain of T is 400.
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