Four different towns in the same state grew in size due to a renewal effort. The population of town A grew from 22,000 to 24,500 in 4 years. The population of town B grew from 31,200 to 34,770 in 6 years. The population of town C grew from 18,000 to 22,000 in 5 years. The population of town D grew from 32,000 to 34,100 in 3 years.
Which town had the greatest average change in population over the corresponding time period? (1 point)
© town B
C town c
O town D
C) town A
To determine which town had the greatest average change in population over the corresponding time period, we need to calculate the average change in population for each town.
For town A:
Initial population = 22,000
Final population = 24,500
Time period = 4 years
Average change = (Final population - Initial population) / Time period
= (24,500 - 22,000) / 4
= 2,500 / 4
= 625
For town B:
Initial population = 31,200
Final population = 34,770
Time period = 6 years
Average change = (Final population - Initial population) / Time period
= (34,770 - 31,200) / 6
= 3,570 / 6
= 595
For town C:
Initial population = 18,000
Final population = 22,000
Time period = 5 years
Average change = (Final population - Initial population) / Time period
= (22,000 - 18,000) / 5
= 4,000 / 5
= 800
For town D:
Initial population = 32,000
Final population = 34,100
Time period = 3 years
Average change = (Final population - Initial population) / Time period
= (34,100 - 32,000) / 3
= 2,100 / 3
= 700
Comparing the average changes in population for each town, we can see that town C had the greatest average change in population over the corresponding time period. So the correct answer is C) town C.
To determine which town had the greatest average change in population over the corresponding time period, we need to calculate the average change for each town.
Town A:
Population change = 24,500 - 22,000 = 2,500
Time period = 4 years
Average change = Population change / Time period = 2,500 / 4 = 625
Town B:
Population change = 34,770 - 31,200 = 3,570
Time period = 6 years
Average change = Population change / Time period = 3,570 / 6 = 595
Town C:
Population change = 22,000 - 18,000 = 4,000
Time period = 5 years
Average change = Population change / Time period = 4,000 / 5 = 800
Town D:
Population change = 34,100 - 32,000 = 2,100
Time period = 3 years
Average change = Population change / Time period = 2,100 / 3 = 700
Comparing the average changes:
- Town A: 625
- Town B: 595
- Town C: 800
- Town D: 700
Therefore, Town C had the greatest average change in population over the corresponding time period.
To find the town with the greatest average change in population over the corresponding time period, we need to calculate the average change in population for each town.
First, let's calculate the average change in population for town A. The initial population is 22,000, and in 4 years it grew to 24,500. So, the change in population is 24,500 - 22,000 = 2,500. Dividing this by the number of years, we get the average change per year: 2,500 / 4 = 625.
Now, let's calculate the average change in population for town B. The initial population is 31,200, and in 6 years, it grew to 34,770. So, the change in population is 34,770 - 31,200 = 3,570. Dividing this by the number of years, we get the average change per year: 3,570 / 6 = 595.
Next, let's calculate the average change in population for town C. The initial population is 18,000, and in 5 years, it grew to 22,000. So, the change in population is 22,000 - 18,000 = 4,000. Dividing this by the number of years, we get the average change per year: 4,000 / 5 = 800.
Lastly, let's calculate the average change in population for town D. The initial population is 32,000, and in 3 years, it grew to 34,100. So, the change in population is 34,100 - 32,000 = 2,100. Dividing this by the number of years, we get the average change per year: 2,100 / 3 = 700.
Comparing the average change in population for each town, we can see that town C had the greatest average change with 800 people per year. Therefore, the answer is town C.