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help please! Environmentally conscious Susan has been told that a new electric c

ID: 350712 • Letter: H

Question

help please!

Environmentally conscious Susan has been told that a new electric car will only generate 7 ounces of greenhouse gases (GHG) per mile, but that a standard internal combustion car is double that at 14 ounces per mile. However, the nature of electric cars is such that the new technology and electric batteries generate 25,000 lbs. of GHG to manufacture and another 8,000 lbs. to recycle. A standard car generates only 18,000 lbs. of GHG to manufacture, and recycling with established technology is only 1,100 lbs. Susan is interested in taking a systems approach that considers the life-cycle impact of her decision. How many miles must she drive the electric car for it to be the preferable decision in terms of reducing greenhouse gases? Susan must drive the electric car ay leastmiles for it to be the preferable decision in terms of reducing greenhouse gases. (Round your response to the nearest whole number.)

Explanation / Answer

Let X be the miles that she must drive the electric car for it to be the preferable decision in terms of reducing greenhouse gases

Life cycle impact of electric car (lbs of GHG generated over the life cycle) = GHG generate to manufacture and recycle + GHG generated running miles of running over the life = 25000+8000+(7/16)*X   (7 is divided by 16, to convert oz to lbs)

Life cycle impact of standard ICE car (lbs of GHG generated over the life cycle) = GHG generate to manufacture and recycle + GHG generated running miles of running over the life = 18000+1100+(14/16)*X   

For electric to be preferable, life cycle impact of standard ICE car must be at least equal that of the electric car.

25000+8000+(7/16)*X = 18000+1100+(14/16)*X   

33000+(7/16)*X = 19100+(14/16)*X

((14-7)/16)*X = (33000-19100)

X = 13900*16/7 = 31771 miles

She must drive the electric car at least 31,771 miles for it to be the preferable decision in term so reducing greenhouse gases.