Community A
number of households total number of children
10 26
20 52
40 104
75 195
Community B
number of households total number of children
12 30
24 60
50 125
85 212.5
Based on the tables showing the average number of children per household for two different communities, which community has the most children if both neighborhoods have the same number of households? How many children live in this community if 1,000 households?
A. Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
B. Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.
C. Community B has the most children. There are 2,500 children in this community if there are 1,000 households
D. Community A has the most children. There are 260 children in this community if there are 1,000 households.
To determine which community has the most children if both neighborhoods have the same number of households, we need to calculate the average number of children per household for each community.
For Community A:
Average number of children per household = total number of children / number of households
Average number of children per household = 26 / 10 = 2.6 children
Average number of children per household = 52 / 20 = 2.6 children
Average number of children per household = 104 / 40 = 2.6 children
Average number of children per household = 195 / 75 = 2.6 children
For Community B:
Average number of children per household = total number of children / number of households
Average number of children per household = 30 / 12 = 2.5 children
Average number of children per household = 60 / 24 = 2.5 children
Average number of children per household = 125 / 50 = 2.5 children
Average number of children per household = 212.5 / 85 = 2.5 children
Based on the average number of children per household, both communities have the same number of children if both neighborhoods have the same number of households. Therefore, the statement "Community A has the most children" is incorrect.
To determine how many children live in the community if there are 1,000 households, we can multiply the average number of children per household by 1,000.
For Community B:
Number of children = average number of children per household * number of households
Number of children = 2.5 * 1,000 = 2,500
Therefore, the correct answer is C. Community B has the most children. There are 2,500 children in this community if there are 1,000 households.
To determine the community with the most children when both neighborhoods have the same number of households, we need to calculate the average number of children per household for each community.
For Community A:
- The average number of children per household can be calculated by dividing the total number of children by the number of households.
- The average for Community A would be: (26+52+104+195) / (10+20+40+75) = 377 / 145 = 2.6 children per household.
For Community B:
- Similarly, the average number of children per household for Community B is calculated by dividing the total number of children by the number of households.
- The average for Community B would be: (30+60+125+212.5) / (12+24+50+85) = 427.5 / 171 = 2.5 children per household.
Comparing the two averages, we can see that Community A has a slightly higher average number of children per household than Community B (2.6 vs 2.5).
Now, to determine the number of children in the community if there are 1,000 households, we can use the average number of children per household.
For Community A:
- If there are 1,000 households, the number of children in Community A would be: 2.6 (average) x 1,000 (households) = 2,600 children.
For Community B:
- If there are 1,000 households, the number of children in Community B remains the same. We cannot assume a linear relationship since the average number of children per household does not tell us how the number of children scales with the number of households.
Therefore, the correct answer is:
A. Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
To determine which community has the most children if both neighborhoods have the same number of households, we need to calculate the average number of children per household for each community.
For Community A:
Average number of children per household = Total number of children / Number of households
Average number of children per household = 26 + 52 + 104 + 195 / 10 + 20 + 40 + 75
Average number of children per household = 377 / 145
Average number of children per household ≈ 2.6
For Community B:
Average number of children per household = Total number of children / Number of households
Average number of children per household = 30 + 60 + 125 + 212.5 / 12 + 24 + 50 + 85
Average number of children per household = 427.5 / 171
Average number of children per household ≈ 2.5
Since the average number of children per household for Community A is slightly higher, Community A has the most children if both neighborhoods have the same number of households.
To find out how many children live in this community if there are 1,000 households, we can multiply the average number of children per household by the number of households.
Number of children in Community A with 1,000 households = Average number of children per household * Number of households
Number of children in Community A with 1,000 households = 2.6 * 1,000
Number of children in Community A with 1,000 households = 2,600
Therefore, the correct answer is A. Community A has the most children. There are 2,600 children in this community if there are 1,000 households.