Answer: An inequality for the expected population, p, next year can be written using the information provided. Since the population is expected to grow between 5% and 8% per year, we can represent that as a range of growth rates: 0.05 <= growth rate <= 0.08
To find the expected population next year, we can use the formula:
p = population * (1 + growth rate)
where "population" is the current population of 50,000 and "growth rate" is the percentage increase. Since the growth rate is expected to be between 0.05 and 0.08, we can write the inequality as:
50,000 * (1 + 0.05) <= p <= 50,000 * (1 + 0.08)
This inequality represents the expected range of population next year, with the lower bound being the population if it grows by 5% and the upper bound being the population if it grows by 8%.
Simplifying the inequality:
52,500 <= p <= 54,000
So the expected population next year, p, is between 52,500 and 54,000.
Explanation: