Chapter 3.5, Problem 36E

(a)

To determine

The four order pairs $\left(x,y\right)$ for the data given in the table

Year $x$	Cost (in dollars) $y$
1995	32
2000	42
2010	61
2020	76

Where, $y$ (in thousands of metric tons) represents the heavy metal nuclear waste in year $x$ and $x=0$ represents 1995, $x=5$ represents 2000 and so on.

(b)

To determine

To graph: The four order pairs $\left(x,y\right)$ for the data given in the table

Year $x$	Cost (in dollars) $y$
1995	32
2000	42
2010	61
2020	76

Where, $y$ (in thousands of metric tons) represents the heavy metal nuclear waste in the year $x$ and $x=0$ represents 1995, $x=5$ represents 2000 and so on. Also do these points lies approximately in a straight line.

(c)

To determine

To calculate: The equation of a line in the slope intercept form use the points $\left(0,32\right),\left(25,76\right)$. The table is:

Year $x$	Cost (in dollars) $y$
1995	32
2000	42
2010	61
2020	76

Where, $y$ (in thousands of metric tons) represents the heavy metal nuclear waste in the year $x$ and $x=0$ represents 1995, $x=5$ represents 2000 and so on. Also do these points lies approximately in a straight line.

(d)

To determine

The estimated nuclear waste in the year 2015 by using the equation from part (c).

The table is:

Year $x$	Cost (in dollars) $y$
1995	32
2000	42
2010	61
2020	76

Where, $y$ (in thousands of metric tons) represents the heavy metal nuclear waste in the year $x$ and $x=0$ represents 1995, $x=5$ represents 2000 and so on. Also do these points lies approximately in a straight line.