Proportional Relationships in Tables Quick Check
2 of 52 of 5 Items
Question
Use the table to answer the question.
Time (hours) Pages read
12
15
1 30
112
45
2 60
Ruth can read 15 pages in 30 minutes. She decides to create a table to keep track of her progress. From the data provided, at what ratio is the constant of proportionality?
(1 point)
Responses
(1, 30)
left parenthesis 1 comma 30 right parenthesis
(2, 60)
left parenthesis 2 comma 60 right parenthesis
(15, 12)
left parenthesis 15 comma Start Fraction 1 over 2 End Fraction right parenthesis
(112, 30)
what's the answers for Connexus?
None of the options listed are accurate.
To find the ratio of the constant of proportionality, we can compare the number of pages read to the time in hours.
Looking at the table, when Ruth reads for 1 hour (which is 60 minutes), she reads 30 pages. So, the ratio of the constant of proportionality is 30 pages per hour.
The correct answer should be (30, 1) or the equivalent ratio (30:1).
Use the table to answer the question.
Time (min) 1 2 3 7 10
Water Used (gal) 5 10 15 35 50
Determine if the quantities in the data table re in a proportional relationship. If they do not have a proportional relationship, indicate why.
(1 point)
Responses
Yes, the data table has a proportional relationship.
Yes, the data table has a proportional relationship.
No, the ratios are not equivalent.
No, the ratios are not equivalent.
No, the ratio 7:35
is not proportional to the other ratios.
No, the ratio ratio of 7 to 35 is not proportional to the other ratios.
No, the table does not count consecutively.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of water used to time are consistent.
Let's calculate the ratios for each pair of values:
1:5 = 0.2
2:10 = 0.2
3:15 = 0.2
7:35 = 0.2
10:50 = 0.2
Since all the ratios are equal to 0.2, the quantities in the data table are in a proportional relationship.
The correct response is:
Yes, the data table has a proportional relationship.
Proportional Relationships in Tables Quick Check
4 of 54 of 5 Items
Question
Use the table to answer the question.
Hours Biked Miles Traveled
1 12
2 26
3 30
4 48
Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why.
(1 point)
Responses
Yes, this data table has a proportional relationship.
Yes, this data table has a proportional relationship.
No, none of the ratios have equivalence.
No, none of the ratios have equivalence.
No, not all of the ratios are proportional or have equivalence.
No, not all of the ratios are proportional or have equivalence.
No, you can’t bike 12 miles in an hour.
No, you can’t bike 12 miles in an hour.
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To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of miles traveled to hours biked are consistent.
Let's calculate the ratios for each pair of values:
1:12 = 0.083
2:26 = 0.077
3:30 = 0.1
4:48 = 0.083
Since the ratios are not all equal to each other, the quantities in the data table do not have a proportional relationship.
The correct response is:
No, not all of the ratios are proportional or have equivalence.
To find the ratio of the constant of proportionality, we need to look for a pattern in the table.
We can see that when the time (in hours) doubles, the number of pages read also doubles. For example, when the time is 1 hour, 30 pages are read. When the time is 2 hours, 60 pages are read. This shows a proportional relationship.
Therefore, the ratio of the constant of proportionality is given by the relationship between the time and the number of pages read in the table. Looking at the options provided, the correct answer is (2, 60), which means that for every 2 hours, 60 pages are read.
So, the ratio of the constant of proportionality based on the given data is (2, 60).