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 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

1 answer

To compare the average number of children per household in both communities, we calculate that from the given data.

Community A:

  1. For 10 households: 26 children → 26/10 = 2.6 children per household
  2. For 20 households: 52 children → 52/20 = 2.6 children per household
  3. For 40 households: 104 children → 104/40 = 2.6 children per household
  4. For 75 households: 195 children → 195/75 = 2.6 children per household

Average for Community A: 2.6 children per household.

Community B:

  1. For 12 households: 30 children → 30/12 = 2.5 children per household
  2. For 24 households: 60 children → 60/24 = 2.5 children per household
  3. For 50 households: 125 children → 125/50 = 2.5 children per household
  4. For 85 households: 212.5 children → 212.5/85 = 2.5 children per household

Average for Community B: 2.5 children per household.

Now let's calculate the number of children in each community if there are 1,000 households.

Community A:

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

Community B:

  • 1,000 households × 2.5 children/household = 2,500 children.

Thus, Community A has the most children, and if there are 1,000 households, there are 2,600 children in Community A.

The correct response is:

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

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