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 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 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.
To determine which community has the most children if both neighborhoods have the same number of households, we need to compare the average number of children per household in each community.
First, we calculate the average number of children per household for Community A by dividing the total number of children by the number of households:
- For the first row: 26 children / 10 households = 2.6 children/household
- For the second row: 52 children / 20 households = 2.6 children/household
- For the third row: 104 children / 40 households = 2.6 children/household
- For the fourth row: 195 children / 75 households = 2.6 children/household
We can observe that the average number of children per household in Community A is consistently 2.6.
Next, we calculate the average number of children per household for Community B:
- For the first row: 30 children / 12 households = 2.5 children/household
- For the second row: 60 children / 24 households = 2.5 children/household
- For the third row: 125 children / 50 households = 2.5 children/household
- For the fourth row: 212.5 children / 85 households = 2.5 children/household
Similarly, the average number of children per household in Community B is consistently 2.5.
Therefore, we can conclude that Community A has the most children, as the average number of children per household is higher.
To calculate the number of children in Community A if there are 1,000 households, we can use the average number of children per household (2.6) and multiply it by the number of households:
- Number of children in Community A = Average children per household * Number of households
- Number of children in Community A = 2.6 * 1,000
- Number of children in Community A = 2,600
Therefore, if there are 1,000 households in Community A, there would be 2,600 children living in this community.
To determine which community has the most children if both neighborhoods have the same number of households, we need to compare the average number of children per household for each community.
For Community A, the average number of children per household is calculated by dividing the total number of children by the number of households:
- Average number of children per household for Community A = Total Number of Children / Number of Households.
Using the data from the table, we can calculate the average number of children per household for Community A:
- For the first row: 26 / 10 = 2.6 children per household.
- For the second row: 52 / 20 = 2.6 children per household.
- For the third row: 104 / 40 = 2.6 children per household.
- For the fourth row: 195 / 75 = 2.6 children per household.
Therefore, the average number of children per household for Community A is 2.6.
For Community B, we will do the same calculation using the data from the table:
- For the first row: 30 / 12 = 2.5 children per household.
- For the second row: 60 / 24 = 2.5 children per household.
- For the third row: 125 / 50 = 2.5 children per household.
- For the fourth row: 212.5 / 85 = 2.5 children per household.
Therefore, the average number of children per household for Community B is 2.5.
Comparing the averages, we can see that Community A has a higher average number of children per household (2.6) compared to Community B (2.5). Thus, Community A has the most children if both neighborhoods have the same number of households.
To find out how many children live in Community A if there are 1,000 households, we can use the average number of children per household (2.6).
- Number of children in Community A = Average number of children per household * Number of households.
- Number of children in Community A = 2.6 * 1000 = 2600.
Therefore, if there are 1,000 households in Community A, there would be 2,600 children.