In the summer of 1999, construction will begin on a 3000 ft. tunnel that will pass under the Mississippi River, connecting the cities of East St. Louis, Illinois and St. Louis, Missouri. A Missouri-based company has been contracted to begin excavating the tunnel from the Missouri side, while an Illinois-based company will begin from the Illinois side.
The cost of digging the tunnel depends on many factors, including the overall length of the tunnel. However, the cost per unit length is not constant: as the tunnel gets longer, the cost per unit length increases because of the increasing expense of carrying tools and workers in and hauling dirt and rock out. In their initial bids, both companies have suggested that their rates per foot vary linearly with distance. Their rates are summarized in the following table:
Distance-ft:250 750 1250 1750 2250 2750
Cost per foot ($)
IL Company 995 2945 4895 6845 8795 10745
MO Company 725 2775 4825 6875 8925 10975
For each company, determine a function that gives that cost of digging x feet of tunnel (NOT the cost per foot as a function of distance dug).
***If my chart is hard to see, it's also here http://faculty.prairiestate.edu/skifowit/htdocs/projects/a07.htm Problem #2© BrainMass Inc. brainmass.com March 4, 2021, 6:00 pm ad1c9bdddf
This shows how to write a function for a given situation involving digging a tunnel.