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Year Years Since 1975 Total waste in millions of tons 1975 0 480 1980 798 1985 3 1200 1990 10 1740 1995 20 2440 2000
Year Years Since 1975 Total waste in millions of tons 1975 0 480 1980 798 1985 3 1200 1990 10 1740 1995 20 2440 2000 25 3390 2005 30 4600 2010 35 6060 2015 40 7820ate a scatter plot in Excel for your data, (years since 1975, total waste in millions of tons). What type odel does the shape most closely resemble? Linear (increase) Exponential Growth Exponential Decay Linear (decrease)Add an exponential model to the data. Write the equation for P, the millions of tons of plastic. as a function oft. the time in years since 191%: Pm = v '11 + v i\" " Hint: The equation in Excel does not giye you the ryalue. Recall: r : exp(k) -1 where k is the number in the exponent of "e" in Excel. QUESTION 13 Rate how well you think the model ts the data: " , Doesn'tt at all .I= Doesn'tt well. but sorta-kinda matches the shape overall " , Doesn'tt well. but shows the oyerall trend of the data " , Neither tits nor doesn't t " , Fits moderately well all over I= Fits very well but doesn't exactly match the trend toward the end " , Fits pertectly QUESTION 14 What is the growth rate for the exponential mod el? Write your answer as a percentage rounded to two decimal places. but with out the percent sign. For example, if your growth rate is 2.32%. write 2.82. The meaning of the rate in context of the problem: The amount of is at a rate of v per QUESTION 16 Using the exponential model, predict how may million tons of plastic will be in landfills (and the ocean gyres) in 2025. Round to the nearest whole ton. QUESTION 17 Using the exponential model, predict how may million tons of plastic will be in landfills (and the ocean gyres) in 2050. Round to the nearest whole ton.QUESTION 18 In what year does the model predict that the total plastic waste will reach 500,000 million tons (yikes! that's half a trillion tons!)? Write your answer as a standard four-digit year
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