Find the exponential function that satisfies the given conditions.
-Initial mass $= 29 \mathrm {~g}$, decreasing at a rate of $3.5 \%$ per day
A) $m ( t ) = 29 \cdot 0.965 ^ { t }$
B) $\mathrm { m } ( \mathrm { t } ) = 29 \cdot 1.35 ^ { \mathrm { t } }$
C) $m ( t ) = 3.5 \cdot 0.71 ^ { t }$
D) $m ( t ) = 29 \cdot 1.035 ^ { t }$

Question

Quizplus · Accepted Answer

The exponential decay formula is $m(t) = m_0 \cdot (1 - r)^t$, where $m_0$ is the initial mass, $r$ is the rate of decrease, and $t$ is time. Here, $m_0 = 29$ g and $r = 3.5\% = 0.035$, so the formula becomes $m(t) = 29 \cdot (1 - 0.035)^t = 29 \cdot 0.965^t$.

Find the Exponential Function That Satisfies the Given Conditions =29 g= 29 \mathrm {~g}=29 g

Find the Exponential Function That Satisfies the Given Conditions $= 29 \mathrm {~g}$