Answer:
y = 15,000(1.10)x
Explanation:
The equation y = 15,000(1.10)x represents the population of panda bears over time. In this equation, "y" represents the population, "15,000" represents the initial population of panda bears, and "1.10" represents the growth rate of 10% per year. The variable "x" represents the number of years.
By raising the growth rate of 1.10 to the power of "x" (the number of years), we account for the compounding effect of the growth rate over time. This equation allows us to calculate the population of panda bears after a specific number of years by multiplying the initial population (15,000) by the growth rate (1.10) raised to the power of the number of years.
For example, if we wanted to find the population after 5 years, we would substitute "x" with 5 in the equation:
y = 15,000(1.10)^5
This would give us the population of panda bears after 5 years, taking into account the annual growth rate of 10%.