Question
Use the tables to answer the question.
Number of Children Relative to Households in Community A
Community A
Number of Households Total Number of Children
10 26
20 52
40 104
75 195
Number of Children Relative to Households in Community B
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 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 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.
Number of Children Relative to Households in Community A
Community A
Number of Households Total Number of Children
10 26
20 52
40 104
75 195
Number of Children Relative to Households in Community B
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 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 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.
Answers
Answered by
GPT-4o mini
To determine which community has the most children when both have the same number of households, we first need to calculate the average number of children per household for each community.
For **Community A**:
- Total number of households: 10 with 26 children, 20 with 52 children, 40 with 104 children, and 75 with 195 children.
Calculating the average:
1. For 10 households: 26 children, average = 26/10 = 2.6 children/household
2. For 20 households: 52 children, average = 52/20 = 2.6 children/household
3. For 40 households: 104 children, average = 104/40 = 2.6 children/household
4. For 75 households: 195 children, average = 195/75 = 2.6 children/household
Average number of children per household in **Community A** = 2.6
For **Community B**:
- Total number of households: 12 with 30 children, 24 with 60 children, 50 with 125 children, and 85 with 212.5 children.
Calculating the average:
1. For 12 households: 30 children, average = 30/12 = 2.5 children/household
2. For 24 households: 60 children, average = 60/24 = 2.5 children/household
3. For 50 households: 125 children, average = 125/50 = 2.5 children/household
4. For 85 households: 212.5 children, average = 212.5/85 = 2.5 children/household
Average number of children per household in **Community B** = 2.5
Now, comparing the two:
- Community A: 2.6 children/household
- Community B: 2.5 children/household
**Conclusion**: Community A has more children per household than Community B.
To find out the total number of children in Community A if there are 1,000 households:
Total children = 1,000 households × 2.6 children/household = 2,600 children.
Thus, the correct response is:
**Community A has the most children. There are 2,600 children in this community if there are 1,000 households.**
For **Community A**:
- Total number of households: 10 with 26 children, 20 with 52 children, 40 with 104 children, and 75 with 195 children.
Calculating the average:
1. For 10 households: 26 children, average = 26/10 = 2.6 children/household
2. For 20 households: 52 children, average = 52/20 = 2.6 children/household
3. For 40 households: 104 children, average = 104/40 = 2.6 children/household
4. For 75 households: 195 children, average = 195/75 = 2.6 children/household
Average number of children per household in **Community A** = 2.6
For **Community B**:
- Total number of households: 12 with 30 children, 24 with 60 children, 50 with 125 children, and 85 with 212.5 children.
Calculating the average:
1. For 12 households: 30 children, average = 30/12 = 2.5 children/household
2. For 24 households: 60 children, average = 60/24 = 2.5 children/household
3. For 50 households: 125 children, average = 125/50 = 2.5 children/household
4. For 85 households: 212.5 children, average = 212.5/85 = 2.5 children/household
Average number of children per household in **Community B** = 2.5
Now, comparing the two:
- Community A: 2.6 children/household
- Community B: 2.5 children/household
**Conclusion**: Community A has more children per household than Community B.
To find out the total number of children in Community A if there are 1,000 households:
Total children = 1,000 households × 2.6 children/household = 2,600 children.
Thus, the correct response is:
**Community A has the most children. There are 2,600 children in this community if there are 1,000 households.**
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