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 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.
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 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 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 for each community.
In Community A, the average number of children per household is:
10 households, 26 children = 26/10 = 2.6 children per household
20 households, 52 children = 52/20 = 2.6 children per household
40 households, 104 children = 104/40 = 2.6 children per household
75 households, 195 children = 195/75 = 2.6 children per household
So, the average number of children per household in Community A is 2.6.
In Community B, the average number of children per household is:
12 households, 30 children = 30/12 = 2.5 children per household
24 households, 60 children = 60/24 = 2.5 children per household
50 households, 125 children = 125/50 = 2.5 children per household
85 households, 212.5 children = 212.5/85 = 2.5 children per household
So, the average number of children per household in Community B is 2.5.
Comparing the two communities, we can see that Community A has a slightly higher average number of children per household (2.6) compared to Community B (2.5). Therefore, Community A has the most children if both neighborhoods have the same number of households.
To calculate 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):
2.6 children per household * 1,000 households = 2,600 children
So, there are 2,600 children in Community A 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 calculate the average number of children per household for each community.
To find the average number of children per household, we divide the total number of children by the number of households:
Average number of children per household = Total number of children / Number of households
Let's calculate the averages for each community:
For Community A:
- Number of households: 10
- Total number of children: 26
Average number of children per household in Community A = 26 / 10 = 2.6
For Community B:
- Number of households: 12
- Total number of children: 30
Average number of children per household in Community B = 30 / 12 = 2.5
From the calculation, we can see that Community A has a higher average number of children per household (2.6) compared to Community B (2.5). Therefore, Community A has the most children if both neighborhoods have the same number of households.
Now, let's find out how many children live in Community A if there are 1,000 households. Since the average number of children per household in Community A is 2.6, we can multiply this value by the number of households:
Number of children in Community A = Average number of children per household * Number of households
Number of children in Community A = 2.6 * 1,000 = 2,600
So, if there are 1,000 households in Community A, there would be 2,600 children in that community.
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.