The equation you've provided, $f(t) = 83(1.35)^t$, represents an exponential growth model, where:

• The initial value is $83$,
• The growth factor is $1.35$,
• $t$ is the time.

To determine the rate of growth, we use the growth factor. The rate of growth $r$ is given by the formula:

$r = \text{growth factor} - 1$

Substituting the growth factor of $1.35$:

$r = 1.35 - 1 = 0.35$

Therefore, the rate of growth is 35%.

Would you like a detailed explanation or have any questions?

Here are 5 related questions for further understanding:

1. What is the difference between a growth factor and a growth rate?
2. How would the equation change if the growth rate was 50% instead?
3. How can you determine the initial value from an exponential growth equation?
4. What happens to $f(t)$ as $t$ increases in this exponential function?
5. How would you solve for $t$ if given a specific value of $f(t)$?

Tip: In exponential growth, the rate is constant, but the value grows faster and faster over time.