Community A
Number of Households
10
20
Total Number of Children
26
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?
(1 point)
A. Community B has the most children. There are 212.5 children which is greater than the 195 in Community A
B. Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
C. Community A has the most children. There are 260 children in this community if there are 1,000 households.
D. Community 8 has the most children. There are 2,500 children in this community if there are 1,000 households.
A. Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.
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:
Total Number of Children = 26 + 52 + 40 + 104 + 75 + 195 = 492
Number of Households = 10 + 20 = 30
Average Number of Children per Household in Community A = Total Number of Children / Number of Households = 492 / 30 = 16.4
For Community B:
Total Number of Children = 30 + 60 + 50 + 125 + 85 + 212.5 = 562.5
Number of Households = 12 + 24 = 36
Average Number of Children per Household in Community B = Total Number of Children / Number of Households = 562.5 / 36 = 15.625
Comparing the average number of children per household, we can see that Community A has a higher average (16.4) than Community B (15.625). Therefore, Community A has the most children if both neighborhoods have the same number of households.
Now, to calculate the number of children in Community A if there are 1,000 households, we can use the average number of children per household:
Number of Households = 1,000
Number of Children in Community A = Average Number of Children per Household in Community A * Number of Households
= 16.4 * 1,000
= 16,400
Therefore, the correct answer is:
C. 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:
Total Number of Children = 26 + 52 + 40 + 104 + 75 + 195 = 492
Number of Households = 10 + 20 = 30
Average Number of Children per Household in Community A = 492 / 30 ≈ 16.4
For Community B:
Total Number of Children = 12 + 30 + 24 + 60 + 50 + 125 = 301
Number of Households = 12 + 24 = 36
Average Number of Children per Household in Community B = 301 / 36 ≈ 8.36
Comparing the average number of children per household, we can see that Community A has a higher average of approximately 16.4, while Community B has an average of approximately 8.36.
Now, to determine how many children live in Community A if there are 1,000 households, we can use the average number of children per household and multiply it by the number of households:
Average Number of Children per Household in Community A = 16.4
Number of Households = 1,000
Number of Children in Community A = Average Number of Children per Household in Community A * Number of Households = 16.4 * 1,000 = 16,400
Therefore, the correct answer is:
C. Community A has the most children. There are 260 children in this community if there are 1,000 households.