SOLUTION: Nuclear Waste: The table gives the heavy metal nuclear waste (in thousands of metric tons) from spent reactor fuel stored temporarily at reactor sites, awaiting permanent storage.

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Question 860578: Nuclear Waste: The table gives the heavy metal nuclear waste (in thousands of metric tons) from spent reactor fuel stored temporarily at reactor sites, awaiting permanent storage.
Heavy Metal Nuclear Waste
Year X Waste Y
1995 32 32
2000 42 42
2010 61 61
2020 76 76
Let x= 0 represent 1995, x=5 represent 2000 (Since 2000-1995=5), and so on.
(a) Use (0, 32) and (25, 76) to find the equation of a line that approximates the other ordered pairs. Use the form y= mx+b.
(b) Use the equation from part (a) to estimate the amount of nuclear waste in 2008.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
More data points would be better for seeing how good a linear fit they would be.

m=%2876-32%29%2F%2825%29=44%2F25, not reducible.
Using y=mx+b, solve to find b=y-mx; choose any desired point, best if either of those used in the slope computation.
b=76-%2844%2F25%2925=76-44=32
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Equation is highlight%28y=%2844%2F25%29x%2B32%29.