Answer:
The equation Y=970(0.51)^x represents the percentage of change over time. As x increases, Y decreases due to the exponentiation of 0.51. This means that the percentage of change is decreasing over time.
For example, if we plug in x=1, the equation outputs Y=495.7, which represents a 49.43% decrease from the initial value of 970. As x continues to increase, the percentage of change decreases, approaching 0% but never quite reaching it.
Overall, this equation can be used to model a variety of situations where there is a gradual decrease in the percentage of change over time.