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Use the tables to answer the question.

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?

(1 point)
Responses

Community B has the most children. There are 2,500 children in this community if there are 1,000 households.
Community B has the most children. There are 2,500 children in this community if there are 1,000 households.

Community A has the most children. There are 260 children in this community if there are 1,000 households.
Community A has the most children. There are 260 children in this community if there are 1,000 households.

Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.
Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.

1 answer

To determine which community has more children per household, we need to calculate the average number of children per household for both Community A and Community B.

Community A:

  • 10 households: 26 children -> 26/10 = 2.6 children/household
  • 20 households: 52 children -> 52/20 = 2.6 children/household
  • 40 households: 104 children -> 104/40 = 2.6 children/household
  • 75 households: 195 children -> 195/75 = 2.6 children/household

Average for Community A = 2.6 children/household.

Community B:

  • 12 households: 30 children -> 30/12 = 2.5 children/household
  • 24 households: 60 children -> 60/24 = 2.5 children/household
  • 50 households: 125 children -> 125/50 = 2.5 children/household
  • 85 households: 212.5 children -> 212.5/85 ≈ 2.5 children/household

Average for Community B = 2.5 children/household.

Comparison:

  • Community A has an average of 2.6 children per household.
  • Community B has an average of 2.5 children per household.

Since Community A has more children per household, if both communities have 1,000 households:

Community A:
2.6 children/household * 1,000 households = 2,600 children.

Community B:
2.5 children/household * 1,000 households = 2,500 children.

Conclusion:

Community A has the most children if both neighborhoods have the same number of households. Therefore, the response is:

Community A has the most children. There are 2,600 children in this community if there are 1,000 households.