Final answer:
The average rate of change in Kenya's elephant population over the past 10 years is a decline of 12,000 elephants per year.
Step-by-step explanation:
The average rate of change in the elephant population in Kenya over the last 10 years can be calculated using the formula:
\(\text{Average rate of change} = \frac{\text{Change in value}}{\text{Change in time}}\)
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Here, the change in elephant population (value) is \(150,000 - 30,000 = 120,000\) elephants, and the change in time is 10 years. Therefore, the average rate of change is \(\frac{120,000}{10} = 12,000\) elephants per year. This means that on average, the population declined by 12,000 elephants each year over that period.