Write a function f in terms of x that represents the cost of laying the power line from point A to point D

Question

a power company needs to install an underground power line along a road from point A to a house at point C which is 85 feet from the road. The pipeline alongside the road will cost the company $1.27 per foot. At point D, they will turn from the road and head directly towards the house. For this portion of the installation, the cost of the pipeline increases to $1.99 per foot

Answer 1

Let X be the length of power line on straight road from point A

 

So the function f(X) is given by

 

f(X) = 1.27 X + 1.99x85