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 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 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 2,500 children in this community if there are 1,000 households.
Community B has the most children. There are 212.5 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.
To answer this question, we need to compare the average number of children per household in both communities.
In Community A, the average number of children per household can be calculated by dividing the total number of children by the number of households.
For example, 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.
Similarly, we can calculate the average for the remaining households in Community A.
In Community B, we follow the same procedure to calculate the average number of children per household.
Once we have the average for each community, we can compare them to determine which community has the most children if both neighborhoods have the same number of households.
Now, let's calculate the averages for both communities:
For Community A:
- The average number of children per household is 2.6.
For Community B:
- The average number of children per household is 2.5.
From the calculations, we can conclude that Community A has a higher average number of children per household. However, the question asks for the community with the most children if both neighborhoods have the same number of households.
To determine how many children live in the community with 1,000 households, we need to calculate the total number of children using the average number of children per household:
For Community A:
- Number of children per household = 2.6
- Number of households = 1,000
Total number of children in Community A = 2.6 * 1,000 = 2,600 children.
Therefore, the correct answer is:
Community A has the most children if there are 1,000 households, and there would be 2,600 children in this community.