Question
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 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 A has the most children. There are 260 children in this community if there are 1,000 households.
Based on the information given, Community B has the most children if both neighborhoods have the same number of households. The average number of children per household for Community B is greater than that of Community A.
To calculate the number of children in Community B if there are 1,000 households, we can use the ratio of households to children from the table.
In Community B, the average number of children per household is calculated by dividing the total number of children by the number of households:
- For 12 households, there are 30 children (30/12 = 2.5 children per household)
- For 24 households, there are 60 children (60/24 = 2.5 children per household)
- For 50 households, there are 125 children (125/50 = 2.5 children per household)
- For 85 households, there are 212.5 children (212.5/85 = 2.5 children per household)
Since the average number of children per household in Community B is a constant 2.5, we can simply multiply this by the number of households to find the total number of children.
For 1,000 households in Community B, there would be 2.5 * 1000 = 2500 children.
Therefore, the correct answer is:
Community B has the most children. There are 2,500 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. Let's calculate it.
In Community A, the average number of children per household can be calculated by dividing the total number of children by the number of households:
For the first row: 26 children / 10 households = 2.6 children per household
For the second row: 52 children / 20 households = 2.6 children per household
For the third row: 104 children / 40 households = 2.6 children per household
For the fourth row: 195 children / 75 households ≈ 2.6 children per household
So, the average number of children per household in Community A is 2.6.
Now, let's do the same calculation for Community B:
For the first row: 30 children / 12 households = 2.5 children per household
For the second row: 60 children / 24 households = 2.5 children per household
For the third row: 125 children / 50 households = 2.5 children per household
For the fourth row: 212.5 children / 85 households ≈ 2.5 children per household
Therefore, the average number of children per household in Community B is 2.5.
Since Community A has a higher average number of children per household (2.6) compared to Community B (2.5), Community A has the most children if both neighborhoods have the same number of households.
Now, let's determine the number of children in Community A if there are 1,000 households. We can assume that the average number of children per household remains constant.
The average number of children per household in Community A is 2.6. So, if there are 1,000 households, we can calculate the total number of children by multiplying the number of households by the average number of children per household:
1,000 households * 2.6 children per household = 2,600 children
Therefore, there would be 2,600 children in Community A if there are 1,000 households.
The correct response is:
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.