(b) The table below shows the total MSW (in metric tons) and percent MSW recycled over time in the United States. Year Total MSW recycled (millions of metric tons) Percent of MSW recycled

1960 5 8

1970 7 8

1980 12 10

1990 23 13

2000 57 27

2010 76 33

(ii) Calculate the total MSW generated in 2000 in the United States.
(iii) If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.

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Answer the car approaching from the right has the right of way;

What is this supossed to be?

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.