Final answer:
The population of the city 5 years from now would be approximately 53,246 people.
Step-by-step explanation:
To find the population of the city 5 years from now, we can use the concept of exponential growth. Since the population has been growing exponentially, we can use the formula:
P = P0 x (1 + r)^t
where P is the future population, P0 is the initial population, r is the growth rate, and t is the time in years.
From the given information, we know that the population 5 years ago was 36,000 people, and the current population is 43,800 people. Let's use these values to find the growth rate:
43,800 = 36,000 x (1 + r)^5
Dividing both sides by 36,000 and taking the fifth root, we find that:
1 + r = 1.04
Subtracting 1 from both sides, we get:
r = 0.04
Now, we can use this growth rate to find the population 5 years from now:
P = 43,800 x (1 + 0.04)^5
Calculating this expression, we get:
P ≈ 43,800 x 1.21665 ≈ 53,246
So, the population of the city 5 years from now would be approximately 53,246 people.