Question
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 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 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.
households.
To find out which community has the most children when both neighborhoods have the same number of households, we need to compare the average number of children per household in each community.
Looking at the tables, we can see that in Community A:
- For 10 households, there are 26 children, so the average is 26/10 = 2.6 children per household.
- For 20 households, there are 52 children, so the average is 52/20 = 2.6 children per household.
- For 40 households, there are 104 children, so the average is 104/40 = 2.6 children per household.
- For 75 households, there are 195 children, so the average is 195/75 = 2.6 children per household.
In Community B:
- For 12 households, there are 30 children, so the average is 30/12 = 2.5 children per household.
- For 24 households, there are 60 children, so the average is 60/24 = 2.5 children per household.
- For 50 households, there are 125 children, so the average is 125/50 = 2.5 children per household.
- For 85 households, there are 212.5 children, so the average is 212.5/85 = 2.5 children per household.
From the averages, we can conclude that both communities have the same average number of children per household, which is 2.6 in Community A and 2.5 in Community B.
Now, to find out the number of children in each community if there are 1,000 households, we need to multiply the average number of children per household by 1,000.
For Community A: 2.6 children per household * 1,000 households = 2,600 children.
For Community B: 2.5 children per household * 1,000 households = 2,500 children.
Therefore, the correct answer is:
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.