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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 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 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.

1 answer

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

Community A:

  • Number of Households: 10, Total Children: 26 → Average: 26 / 10 = 2.6
  • Number of Households: 20, Total Children: 52 → Average: 52 / 20 = 2.6
  • Number of Households: 40, Total Children: 104 → Average: 104 / 40 = 2.6
  • Number of Households: 75, Total Children: 195 → Average: 195 / 75 = 2.6

Average number of children per household in Community A is consistently 2.6.

Community B:

  • Number of Households: 12, Total Children: 30 → Average: 30 / 12 = 2.5
  • Number of Households: 24, Total Children: 60 → Average: 60 / 24 = 2.5
  • Number of Households: 50, Total Children: 125 → Average: 125 / 50 = 2.5
  • Number of Households: 85, Total Children: 212.5 → Average: 212.5 / 85 = 2.5

Average number of children per household in Community B is consistently 2.5.

Now, to find out how many children live in each community if there are 1,000 households:

Community A: Average children per household = 2.6
Total children for 1,000 households = 2.6 * 1,000 = 2,600 children

Community B: Average children per household = 2.5
Total children for 1,000 households = 2.5 * 1,000 = 2,500 children

Thus, Community A has the most children when both neighborhoods have the same number of households, with a total of 2,600 children in 1,000 households.

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