Which of the following equations represents exponential growth?
Type the correct equation in the space provided.
y =
y = 0 . 1x y = 1 . 5x y = (1 . 5)
x
y = (0 . 1)
x

The equation that represents exponential growth is:

\[
y = (1.5)^x
\]

In this equation, the base (1.5) is greater than 1, which indicates exponential growth. The variable \(x\) is the exponent, and the function increases as \(x\) increases.

### Relative Questions:
1. What is the difference between exponential growth and exponential decay?
2. How do you determine if an exponential function represents growth or decay?
3. What are some real-world examples of exponential growth?
4. How does the value of the base in an exponential function affect the rate of growth?
5. What happens to an exponential function if the base is less than 1 but greater than 0?

**Tip:** Exponential growth functions always have a base greater than 1, leading to faster increases as the variable increases.

Which of the following equations represents exponential growth? Type the correct equation in the space provided. y = y = 0.1x y = 1.5x y = (1.5)^x y = (0.1)^x

Learn how to identify exponential growth equations with examples. This problem involves recognizing the base of an exponential function that determines whether it represents growth or decay. Suitable for students in Grades 8-10, focusing on exponential functions and their properties.

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