The given function is:

$g(x) = 1.5 \cdot (0.67)^t$

In an exponential function of the form:

$g(x) = a \cdot b^t$

• $a$ is the initial value.
• $b$ is the growth factor (or decay factor if $0 < b < 1$).

Here, $b = 0.67$, which is less than 1, indicating exponential decay rather than growth.

So, the growth factor is 0.67.

Would you like more details or have any questions?

Related Questions:

1. What is the difference between a growth factor and a decay factor?
2. How do you determine if an exponential function represents growth or decay?
3. What happens to the function as $t$ increases if the growth factor is less than 1?
4. Can the growth factor ever be negative? Why or why not?
5. How do you convert an exponential decay function into percentage decrease per time unit?

Tip:

In exponential decay, the decay rate can be found using $1 - b$. For $b = 0.67$, the decay rate is 33% per time unit.