The number of branches on a large tree after the year 2000 is represented by the following table:
Time (years) Branches
000 161616
222 232323
444 333333
666 484848
888 696969
101010 999999
Which model for B(t) left parenthesis, t, right parenthesis, the number of branches t years after the year 2000, best fits the data?
Choose 1 answer:
(Choice A)
A
B(t)=16+7\cdot tB(t)=16+7⋅tB, left parenthesis, t, right parenthesis, equals, 16, plus, 7, dot, t
(Choice B)
B
B(t)=16\cdot(1.44)^tB(t)=16⋅(1.44)
t
B, left parenthesis, t, right parenthesis, equals, 16, dot, left parenthesis, 1, point, 44, right parenthesis, start superscript, t, end superscript
(Choice C)
C
B(t)=16\cdot(1.2)^tB(t)=16⋅(1.2)
t
B, left parenthesis, t, right parenthesis, equals, 16, dot, left parenthesis, 1, point, 2, right parenthesis, start superscript, t, end superscript
(Choice D)
D
B(t)=16+30\cdot tB(t)=16+30⋅t