Use the tables to answer the question.

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 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.
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 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.

Answer 1

To determine which community has the most children based on the average number of children per household, we can calculate the average number of children in each community:

Community A:

• For 10 households, there are 26 children: Average = 26 / 10 = 2.6 children per household
• For 20 households, there are 52 children: Average = 52 / 20 = 2.6 children per household
• For 40 households, there are 104 children: Average = 104 / 40 = 2.6 children per household
• For 75 households, there are 195 children: Average = 195 / 75 = 2.6 children per household

So, the average number of children per household in Community A is 2.6 children.

Community B:

• For 12 households, there are 30 children: Average = 30 / 12 = 2.5 children per household
• For 24 households, there are 60 children: Average = 60 / 24 = 2.5 children per household
• For 50 households, there are 125 children: Average = 125 / 50 = 2.5 children per household
• For 85 households, there are 212.5 children: Average = 212.5 / 85 = 2.5 children per household

So, the average number of children per household in Community B is 2.5 children.

Summary:

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

Community A has the most children per household.

Now, if both communities had 1,000 households, the number of children in each community would be:

Community A:

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

Community B:

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

Thus, the correct response is:

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