Chapter 7.6, Problem 29PPE

To determine

To sketch: the graph of the function.

Explanation of Solution

Given information:

A solid waste disposal plan proposes to reduce the amount of garbage each person throws out by 2% each year. This year, each person threw out an average of 1500lb of garbage. The function $y=1500\cdot {0.98}^x$ models the average amount of garbage each person will throw out each year after $x$ years.

Calculation:

Consider the function,

  $y=1500\cdot {0.98}^x$

Consider the following table,

$x$ (number of years)	1	2	3	4	5
$y=1500\cdot {0.98}^x$	1470	1441	1418	1384	1356

The graph of $y=1500\cdot {0.98}^x$ is as follows: