Compare Proportions from Descriptions & Tables Quick Check
5 of 55 of 5 Items
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 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.
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.
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Community B has the most children. There are 212.5 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.
Looking at the tables:
- In Community A, there are 26 children for 10 households, 52 children for 20 households, 104 children for 40 households, and 195 children for 75 households.
- In Community B, there are 30 children for 12 households, 60 children for 24 households, 125 children for 50 households, and 212.5 children for 85 households.
Comparing the numbers, we see that the average number of children per household is higher in Community B (212.5) compared to Community A (195). Therefore, Community B has the most children if both neighborhoods have the same number of households.
Now, to calculate the number of children in Community B if there are 1,000 households:
- If there are 85 households in Community B, then the average number of children per household is 212.5.
- So, for 1,000 households in Community B, we can use the equation:
Number of children = average number of children per household * number of households
Number of children = 212.5 * 1,000
Number of children = 212,500
Therefore, there are 212,500 children in Community B if there are 1,000 households.
The correct response is:
Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.
To answer this question, we need to compare the average number of children per household in each community. Let's look at the tables:
Community A:
- Number of Households: 10, 20, 40, 75
- Total Number of Children: 26, 52, 104, 195
Community B:
- Number of Households: 12, 24, 50, 85
- Total Number of Children: 30, 60, 125, 212.5
From these tables, we can see that Community A has an average of 2.6 children per household (total number of children divided by the number of households). Community B has an average of 2.5 children per household.
Now, if both neighborhoods have the same number of households (1,000 households), we can calculate the actual number of children in each community.
For Community A, the average number of children per household is 2.6. So, for 1,000 households, we multiply 2.6 by 1,000:
2.6 * 1,000 = 2,600 children
For Community B, the average number of children per household is 2.5. So, for 1,000 households, we multiply 2.5 by 1,000:
2.5 * 1,000 = 2,500 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.