Community A

Question

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 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 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 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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Answer 1

To determine which community has the most children per household and what that would mean for 1,000 households, we need to calculate the average number of children per household for both communities.

Community A:

• Households: 10, 20, 40, 75
• Children: 26, 52, 104, 195
• To find the average number of children per household:
  • Total children = 26 + 52 + 104 + 195 = 377
  • Total households = 10 + 20 + 40 + 75 = 145
  • Average children per household = 377 / 145 ≈ 2.60

Community B:

• Households: 12, 24, 50, 85
• Children: 30, 60, 125, 212.5
• To find the average number of children per household:
  • Total children = 30 + 60 + 125 + 212.5 = 427.5
  • Total households = 12 + 24 + 50 + 85 = 171
  • Average children per household = 427.5 / 171 ≈ 2.50

Now, we can compare the average children per household:

• Community A: ≈ 2.60 children per household
• Community B: ≈ 2.50 children per household

Since Community A has a higher average number of children per household, it can be inferred that if both communities had 1,000 households:

• For Community A:
  • Total number of children = 1,000 households * 2.60 children/household = 2,600 children
• For Community B:
  • Total number of children = 1,000 households * 2.50 children/household = 2,500 children

Therefore, Community A would have the most children (2,600) if there were 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.