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 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.
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 2,500 children in this community if there are 1,000 households.

1 answer

To determine which community has the most children per household, we first need to calculate the average number of children per household in each community.

Community A:

  • For 10 households: 26 children → Average = 26 / 10 = 2.6
  • For 20 households: 52 children → Average = 52 / 20 = 2.6
  • For 40 households: 104 children → Average = 104 / 40 = 2.6
  • For 75 households: 195 children → Average = 195 / 75 = 2.6

Average for Community A = 2.6 children per household

Community B:

  • For 12 households: 30 children → Average = 30 / 12 = 2.5
  • For 24 households: 60 children → Average = 60 / 24 = 2.5
  • For 50 households: 125 children → Average = 125 / 50 = 2.5
  • For 85 households: 212.5 children → Average = 212.5 / 85 ≈ 2.5

Average for Community B = 2.5 children per household

Now, we can compare the averages:

  • Community A: 2.6 children per household
  • Community B: 2.5 children per household

Since Community A has a higher average number of children per household, it has more children overall.

To find out how many children would live in Community A if there were 1,000 households:

  • Children in Community A = 2.6 children/household * 1,000 households = 2,600 children.

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