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#15433

exponential

applications

medium

180 sec

A radioactive substance decays exponentially. The initial mass of the substance is 800 grams. The half-life of the substance is 6 years. The mass of the substance remaining after $t$ years is modeled by an exponential function $M (t)$ . Which equation could define $M (t)$ ?

A.

$M (t) = 800 (0.5)^{t /6}$

B.

$M (t) = 800 (0.5)^{t}$

C.

$M (t) = 800 (2)^{t}$

D.

$M (t) = 800 (0.5)^{6 t}$