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 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 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 2500 children in this community if there are 1,000 households.
To determine which community has the most children if both neighborhoods have the same number of households, we can compare the average number of children per household in each community.
From the table, we can see that in Community A, the average number of children per household is as follows:
- For 10 households, there are 26 children (average of 26/10 = 2.6 children per household)
- For 20 households, there are 52 children (average of 52/20 = 2.6 children per household)
- For 40 households, there are 104 children (average of 104/40 = 2.6 children per household)
- For 75 households, there are 195 children (average of 195/75 = 2.6 children per household)
So, the average number of children per household in Community A is consistently 2.6.
Similarly, for Community B:
- For 12 households, there are 30 children (average of 30/12 = 2.5 children per household)
- For 24 households, there are 60 children (average of 60/24 = 2.5 children per household)
- For 50 households, there are 125 children (average of 125/50 = 2.5 children per household)
- For 85 households, there are 212.5 children (average of 212.5/85 = 2.5 children per household)
So, the average number of children per household in Community B is consistently 2.5.
Comparing the averages, we can conclude that Community A has the most children.
Now, to determine how many children live in Community A if there are 1,000 households, we can use the average of 2.6 children per household.
Since there are 2.6 children per household, we can multiply that by the number of households (1,000) to find the total number of children in Community A:
2.6 children/household * 1,000 households = 2,600 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.
To answer this question, we need to find the average number of children per household for each community. To do this, we can divide the total number of children by the number of households for each community.
For Community A:
- Average number of children per household = Total number of children / Number of households
- Average number of children per household = 26 / 10 = 2.6 (rounded to one decimal place)
For Community B:
- Average number of children per household = Total number of children / Number of households
- Average number of children per household = 30 / 12 = 2.5
Since both communities have the same number of households, we can compare the average number of children per household to determine which community has the most children.
In this case, Community A has a higher average number of children per household (2.6) compared to Community B (2.5), indicating that Community A has the most children.
Now, to find out how many children live in Community A if there are 1,000 households, we can use proportions.
- Proportion: Average number of children per household = Total number of children / Number of households
- Rearranging the equation: Total number of children = Average number of children per household × Number of households
- Total number of children = 2.6 × 1,000 = 2,600
Therefore, there are 2,600 children in Community A if there are 1,000 households.