the population of the city of Woodville is growing at a constant rate. The expression 38,000 +2, 400x models Woodville's population in x years from now. Which THREE statements are correct? 38,000 +2, 400x A x represents the number of years B 2,400 represents the current population. C 38,000 represents the current population. D 2,400 represents the population growth yearly. E 38,000 represents the population growth yearly.

Question

GPT-4o mini · Answer

Let's analyze the expression $ 38,000 + 2,400x $ representing the population of Woodville. - The term $ 38,000 $ represents the current population. - The term $ 2,400x $ indicates that the population is increasing by $ 2,400 $ each year. Now, let's evaluate the statements you've provided: A. **x represents the number of years.** True. In the expression, $ x $ is indeed the variable representing the number of years from now. B. **2,400 represents the current population.** False. The $ 2,400 $ is not the current population; it represents the yearly increase. C. **38,000 represents the current population.** True. The constant $ 38,000 $ is the initial population at year $ x = 0 $. D. **2,400 represents the population growth yearly.** True. The coefficient $ 2,400 $ signifies that the population grows by $ 2,400 $ each year. E. **38,000 represents the population growth yearly.** False. The $ 38,000 $ represents the current population, not the yearly growth. Based on this analysis, the three correct statements are: - A: x represents the number of years. - C: 38,000 represents the current population. - D: 2,400 represents the population growth yearly.