Chapter ISG, Problem 4.6.2.2P

a.

To determine

To form an equation

Answer to Problem 4.6.2.2P

The equation of line is $y=\frac{2}{5}x-756$

Explanation of Solution

Given information:

The given scattered plot is,

  

Formula Used:

Equation of line is,

  $y-y1=m(x-x1)$

Slope is,

  $m=\frac{y2-y1}{x2-x1}$

Calculation:

Concluding from the graph,

Two point on the line are $(1990,40)$ and $(2010,90)$

Substituting the values in the formula of slope,

  $m=\frac{2010-1990}{90-40}$

So,

  $m=\frac{20}{50}$

On solving,

  $m=\frac{2}{5}$

On substituting the values in the equation of slope,

  $y-40=\frac{2}{5}(x-1990)$

Opening the brackets,

  $y-40=\frac{2}{5}x-\frac{1990\times 2}{5}$

On solving,

  $y-40=\frac{2}{5}x-796$

Shifting left-hand side values to right-hand side,

. $y=\frac{2}{5}x-796+40$

On solving,

  $y=\frac{2}{5}x-756$

Hence, the equation of line is $y=\frac{2}{5}x-756$

Conclusion:

The equation of line is $y=\frac{2}{5}x-756$

b.

To determine

To calculate the amount of waste recycling in 2015

Answer to Problem 4.6.2.2P

50 millions of tons of waste will be recycled in 2015

Explanation of Solution

Given information:

The equation of line is $y=\frac{2}{5}x-756$

Formula Used:

Substitution and equation solving.

Calculation:

Substituting the values,

  $y=(\frac{2}{5}\times 2015)-756$

So,

  $y=(806)-756$

On solving,

  $y=50$

Hence, 50 millions of tons of waste will be recycled in 2015

Conclusion:

50 millions of tons of waste will be recycled in 2015