Question

question 1 of 10
exponential growth and decay functions are written in standard form as
$r(t) = a_0 \cdot b^{kt}$, where $a_0$ is an initial amount, $b$ is the growth factor, $k$ is the
growth rate, and $t$ is ______.

a. time
b. altitude
c. temperature
d. total

Explanation:

In exponential growth and decay models, the function \( R(t) = A_0 \cdot b^{kt} \) is used to describe how a quantity changes over time. The variable \( t \) in such functions represents time, as the growth or decay of the quantity (represented by \( R(t) \)) depends on the passage of time. Altitude, temperature, and total do not fit the context of the independent variable in an exponential growth/decay function.

Answer:

A. time