The image you uploaded involves identifying whether each equation represents exponential growth or exponential decay. Let's analyze each equation:

1. y = 10^x:

   • This is an exponential function with a base greater than 1, which indicates exponential growth.

2. y = (1.25)^(x/3):

   • This equation has a base greater than 1, indicating exponential growth.

3. y = 63 * (17/8)^x:

   • The base is greater than 1, which suggests exponential growth.

4. y = 7 * (1/49)^(x/2):

   • Here, the base (1/49) is less than 1, which indicates exponential decay.

5. y = 1.6 * (0.67)^x:

   • The base (0.67) is less than 1, so this equation represents exponential decay.

6. y = (7.5) * 0.931^x:

   • The base (0.931) is less than 1, which shows exponential decay.

Summary:

• Exponential Growth:
  • y = 10^x
  • y = (1.25)^(x/3)
  • y = 63 * (17/8)^x
• Exponential Decay:
  • y = 7 * (1/49)^(x/2)
  • y = 1.6 * (0.67)^x
  • y = (7.5) * 0.931^x

Would you like any more details or clarifications? Feel free to ask about exponential functions or related topics!

Related Questions:

1. How do you differentiate between exponential growth and decay mathematically?
2. What are some real-life examples of exponential growth?
3. Can you explain how to solve an exponential decay problem step-by-step?
4. How do changes in the base of an exponential function affect its behavior?
5. What are some common applications of exponential functions in science and finance?

Tip: For exponential growth, the base of the exponent is greater than 1, while for exponential decay, the base is between 0 and 1.