Installing Cable TV MetroMedia Cable is asked to provide

Chapter 3, Problem 22

(choose chapter or problem)

Installing Cable TV MetroMedia Cable is asked to provide service to a customer whose house is located 2 miles from the road along which the cable is buried. The nearest connection box for the cable is located 5 miles down the road. See the figure.(a) If the installation cost is $500 per mile along the road and $700 per mile off the road, build a model that expresses the total cost C of installation as a function of the distance x (in miles) from the connection box to the point where the cable installation turns off the road. Give the domain. (b) Compute the cost if (c) Compute the cost if (d) Graph the function Use TRACE to see how the cost C varies as x changes from 0 to 5. (e) What value of x results in the least cost?

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