Q:

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Accepted Solution

A:
ANSWER[tex]y = 3( \frac{1}{2} )^{2} [/tex]and[tex]y = ( {0.25)}^{x} [/tex]EXPLANATIONThe first equation represents an exponential decay because;[tex]y = 3( \frac{1}{2} )^{2} [/tex]represents an exponential decay because we can rewrite this equation as[tex]y= 3 ({2}^{ - x} )[/tex]The equation;[tex]y = ( {0.25)}^{x} [/tex]is also an exponential decay becausethis equation can also be written as:[tex]y = {2}^{ - 2x} [/tex]All exponentiial functions of the form [tex]y = a( {b}^{kx} )[/tex]where k is negative is an exponential decay function.