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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 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.

Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
Community A has the most children. There are 2,600 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 B has the most children. There are 2,500 children in this community if there are 1,000 households.
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1 answer

To determine which community has the most children per household, we first need to calculate the average number of children per household for each community based on the given data.

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

Conclusion

From the calculations:

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

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

Calculation for 1,000 households

If there are 1,000 households in Community A:

  • Total children = 2.6 children/household * 1,000 households = 2,600 children.

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