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17 April, 16:05

Does each equation represent exponential decay or exponential growth?

Drag and drop the choices into the boxes to correctly complete the table.

Note: If an equation is neither exponential growth nor exponential decay, do not drag it to the table.

Exponential Decay Exponential Growth

options:

H=5.9 (0.82) ^t

y=0.8 (3.6) ^t

f (t) = 0.72 (15) ^t

A=4/9 (8) ^t

A = (4/3) ^t

H = 7/2 (5/6) ^t

g (x) = 0.3 (x)

+5
Answers (1)
  1. 17 April, 18:38
    0
    An equation is an expression of exponential growth if the base of the exponential term is more than 1 and it is an exponential decay if the base number is less than 1.

    A. H=5.9 (0.82) ^t

    Base number: 0.82 - - > exponential decay

    B. y=0.8 (3.6) ^t

    Base number = 3.6 - - > exponential growth

    C. f (t) = 0.72 (15) ^t

    Base number = 15 - - > exponential growth

    D. A=4/9 (8) ^t

    Base number = 8 - - > exponential growth

    E. A = (4/3) ^t

    Base number = 4/3 - - > exponential growth

    F. H = 7/2 (5/6) ^t

    Base number = 5/6 - - - > exponential decay

    G. g (x) = 0.3 (x)

    Base number = 1 - - > Neither
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