To analyze the given exponential function:

$y = 760(1.325)^x$

Step 1: Identify growth or decay

The base of the exponential function is $1.325$, which is greater than 1. This indicates that the function represents growth.

Step 2: Determine the percentage rate of growth

The rate of change is derived from the base of the exponential function. The percentage rate of growth is given by:

$\text{Growth rate} = (1.325 - 1) \times 100 = 0.325 \times 100 = 32.5\%$

Final Answer:

• Growth
• 32.5% increase

Would you like further clarification or a deeper explanation of this?

Here are 5 related questions for you to explore:

1. How does the base of an exponential function determine growth or decay?
2. What happens when the base is less than 1 in an exponential function?
3. Can you identify the initial value in an exponential function?
4. How do you calculate the growth rate for other bases like $1.5$ or $2$?
5. What are real-life examples of exponential growth and decay?

Tip: Always compare the base of the exponential function to 1 to quickly decide whether it represents growth or decay.