Year 10 Interactive Maths - Second Edition

## Projects

### Project 3.1  Garbage Collection and Disposal

Garbage is produced in every home and industry; and most of the garbage is dumped into the ground. Often, this creates a pollution problem. The cost of garbage collection and disposal is rising at an alarming rate. The cost of disposing garbage in landfills had gone up considerably in many areas. Local councils make a provision of a large amount of money for the restoration of the current landfills sites and the preparation of the new sites for use in the future.

Local councils need to predict the amount of garbage that will need placement in order to make financially feasible plans for the future.

The data on garbage production in a particular area is as follows:

Let the variables be defined as follows:

A = Amount of garbage produced per week (in tonnes)
t = Time in years

1.  Use the given data to complete the following table:

2.  Plot the data collected.

3.  Draw a line of best fit to the data.

4.  Formulate an algebraic model for the amount of garbage produced per week.

5.  Predict the amount of garbage that will be produced weekly in the year 2005.

6.  The plans for the waste disposal of a particular area include building an incinerator that will be able to handle the garbage for the whole area. About 10% of the waste are bottles and cans that can be recycled. Find the minimum capacity of the incinerator in the year 2005. Assume that bottles and cans will not burn.

7.  The proposed incinerator has a burning capacity of 130 tonnes a week. According to your projections, will this incinerator be able to handle the garbage needs of the particular area in the year 2010?