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 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 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.
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Community B has the most children. There are 212.5 children in this community if there are 1,000 households.
To answer the question, we need to compare the average number of children per household in Community A and Community B. Looking at the tables, we can calculate the average number of children per household for each community by dividing the total number of children by the number of households.
For Community A:
Average Number of Children per Household = Total Number of Children / Number of Households
For the given data, the average number of children per household in Community A is:
- For the first row: 26/10 = 2.6
- For the second row: 52/20 = 2.6
- For the third row: 104/40 = 2.6
- For the fourth row: 195/75 = 2.6
So, the average number of children per household in Community A is 2.6.
Similarly, for Community B:
Average Number of Children per Household = Total Number of Children / Number of Households
For the given data, the average number of children per household in Community B is:
- For the first row: 30/12 = 2.5
- For the second row: 60/24 = 2.5
- For the third row: 125/50 = 2.5
- For the fourth row: 212.5/85 = 2.5
So, the average number of children per household in Community B is 2.5.
Now, if both neighborhoods have the same number of households i.e., 1,000 households, we can calculate the total number of children in each community by multiplying the average number of children per household by 1,000.
For Community A:
Total Number of Children = Average Number of Children per Household * Number of Households
Total Number of Children in Community A = 2.6 * 1,000 = 2,600 children
For Community B:
Total Number of Children = Average Number of Children per Household * Number of Households
Total Number of Children in Community B = 2.5 * 1,000 = 2,500 children
Therefore, based on the average number of children per household, Community A has the most children when there are 1,000 households, with a total of 2,600 children.
Community B has the most children. There are 212.5 children in Community B compared to 195 in Community A.
To find out how many children live in Community B if there are 1,000 households, we need to calculate the average number of children per household in Community B and then multiply it by 1,000.
Average number of children per household in Community B = Total number of children / Number of households
In the table, for Community B, the average number of children per household for the given number of households are:
12 households -> 30 children -> Average = 30/12 = 2.5 children per household
24 households -> 60 children -> Average = 60/24 = 2.5 children per household
50 households -> 125 children -> Average = 125/50 = 2.5 children per household
85 households -> 212.5 children -> Average = 212.5/85 = 2.5 children per household
Since the average number of children per household in Community B is consistently 2.5, we can assume that it remains the same for 1,000 households.
Therefore, the number of children in Community B if there are 1,000 households would be:
Number of children = Average number of children per household * Number of households
Number of children = 2.5 * 1000 = 2500
Hence, there are 2500 children in Community B if there are 1,000 households.