The maximum safe load uniformly distributed over a one-foot section of a two-inch-wide wooden beam can be approximated by the model Load = 168.5d2 − 472.1 where d is the depth of the beam.
(a) Evaluate the model for d = 4, d = 6, d = 8, d = 10, and d = 12. Use the results to create a bar graph.
(b) Determine the minimum depth of the beam that will safely support a load of 2000 pounds.