Mathematics, 23.01.2021 18:30 suzymott1562
The mass of a sample of the chemical element einsteinium-253253253 after it is initially measured is represented by the following table:
Time (weeks) Mass (grams)
000 400400400
333 201201201
666 989898
999 505050
121212 242424
151515 121212
Which model for M(t)M(t)M, left parenthesis, t, right parenthesis, the mass of the sample ttt weeks after it's initially measured, best fits the data?
Choose 1
Choose 1
(Choice A)
A
M(t)=400-12\cdot tM(t)=400β12β
tM, left parenthesis, t, right parenthesis, equals, 400, minus, 12, dot, t
(Choice B)
B
M(t)=400-200\cdot tM(t)=400β200β
tM, left parenthesis, t, right parenthesis, equals, 400, minus, 200, dot, t
(Choice C)
C
M(t)=400\cdot(0.5)^tM(t)=400β
(0.5 )
t
M, left parenthesis, t, right parenthesis, equals, 400, dot, left parenthesis, 0, point, 5, right parenthesis, start superscript, t, end superscript
(Choice D)
D
M(t)=400\cdot(0.79)^tM(t)=400β
(0. 79)
t
M, left parenthesis, t, right parenthesis, equals, 400, dot, left parenthesis, 0, point, 79, right parenthesis, start superscript, t, end superscript
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