Problem: In 1960, the United States generated 87.1 million tons of municipal solid waste and recovered (recycled) only 4.3% of it. The amount of municipal solid waste generated in the United States can be modeled by the formula w=3.14n+87.1, while the amount recovered can be modeled by the formula w=0.57n+3.78, where w is the millions of tons and n is the number of years since 1960.

1) Use the formula to determine the year in which the United States generated over 100 million tons of municipal solid waste.

2) Find the year in which 13% of the municipal solid waste generated will be recovered.

3) will the recovery rate ever reach 25%?

4) According to this model, what is the maximum percentage of solid waste that will ever be recovered?

Part A: Solve the above problem using the methods, concepts and procedures learned in this module. All work must be shown and completed in an equation editor.

Part B: Write a 250 word summary of the above problem. Your written work should include but necessarily be limited to the followintg; and explanaton of the problem, a review of the mathematical concepts involved, a critique of the method used to obtain the solution, and an interpretation of the answer.