The decay factor of an exponential function $P ( t )$ is 0.2. The initial value is 1.15. Then a formula for P is
A) $P = 0.2 \times t ^ { 1.15 }$
B) $P = 0.2 \times 1.15 ^ { t }$
C) $P = 1.15 \times t ^ { 02 }$
D) $P = 1.15 \times 0.2 ^ { t }$

Question

The decay factor of an exponential function $P ( t )$ is 0.2. The initial value is 1.15. Then a formula for P is 
A) $P = 0.2 \times t ^ { 1.15 }$
B) $P = 0.2 \times 1.15 ^ { t }$
C) $P = 1.15 \times t ^ { 02 }$
D) $P = 1.15 \times 0.2 ^ { t }$

Quizplus · Accepted Answer

The correct formula for an exponential decay function is $P = P_0 \times a^t$, where $P_0$ is the initial value and $a$ is the decay factor. Here, $P_0 = 1.15$ and $a = 0.2$, so the formula is $P = 1.15 \times 0.2^t$.

The Decay Factor of an Exponential Function P(t)P ( t )P(t)

The Decay Factor of an Exponential Function $P ( t )$