## Explanation

### Identifying Exponential Decay or Growth

The given equation is:

$y = 45(1.82)^x$This type of equation represents an **exponential function**. To determine whether it signifies **exponential growth** or **exponential decay**, we need to examine the base of the exponent, which in this case is $1.82$.

### Exponential Growth

If the base of the exponent $b$ (in this case, $1.82$) is greater than $1$, the function represents **exponential growth**. Here, since $1.82 > 1$, the given equation clearly represents exponential growth.

### Percentage Increase

To find the percentage increase, we use the formula:

$\text{Percentage Increase} = (b - 1) \times 100\%$

Substituting $b = 1.82$:

$\text{Percentage Increase} = (1.82 - 1) \times 100\% \\ = 0.82 \times 100\% \\ = 82\%$### Conclusion

The equation $y = 45(1.82)^x$ represents **exponential growth** with an **82%** **percentage increase**.