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 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 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.
The correct answer is:
Community B has the most children. There are 212.5 children which is greater than the 195 in Community A. If there are 1,000 households, there would be 212.5 * 10 = 2,125 children 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 in each community.
In Community A:
- The average number of children per household is 26/10 = 2.6.
- If there are 1,000 households in Community A, the total number of children would be 2.6 * 1,000 = 2,600.
In Community B:
- The average number of children per household is 30/12 = 2.5.
- If there are 1,000 households in Community B, the total number of children would be 2.5 * 1,000 = 2,500.
Therefore, Community A has the most children. There would be 2,600 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 calculate the average number of children per household for each community.
First, let's calculate the average number of children per household for 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.
- For 40 households, there are 104 children, so the average is 104/40 = 2.6 children per household.
- For 75 households, there are 195 children, so the average is 195/75 = 2.6 children per household.
The average number of children per household in Community A is 2.6.
Now, let's calculate the average number of children per household for Community B:
- For 12 households, there are 30 children, so the average is 30/12 = 2.5 children per household.
- For 24 households, there are 60 children, so the average is 60/24 = 2.5 children per household.
- For 50 households, there are 125 children, so the average is 125/50 = 2.5 children per household.
- For 85 households, there are 212.5 children, so the average is 212.5/85 = 2.5 children per household.
The average number of children per household in Community B is 2.5.
Since the average number of children per household is higher in Community A (2.6), it means 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 multiply the average number of children per household (2.6) by 1,000.
2.6 children/household * 1,000 households = 2,600 children
Therefore, the answer is:
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.