Use the table to answer the question.
Hours Miles walked
14 1
12 2
34 3
1 4
It takes Julian 12 hour to walk 2 miles. He decides to start walking in his spare time, but because he wants to make sure he has enough time to go a desired distance he created the data table. At which ratio does the constant of proportionality appear?
(1 point)
Responses
(1, 4)
left parenthesis 1 comma 4 right parenthesis
(4, 1)
left parenthesis 4 comma 1 right parenthesis
(1, 14)
left parenthesis 1 comma Start Fraction 1 over 4 End Fraction right parenthesis
(14, 1)
left parenthesis Start Fraction 1 over 4 End Fraction comma 1 right parenthesis
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The constant of proportionality appears at the ratio (12, 2).
The ratio that represents the constant of proportionality in this data table is (1, 4) or (4, 1), indicating that for every 1 unit of hours, there are 4 units of miles walked.
To find the ratio of the constant of proportionality, we need to compare the hours and miles walked for each data point in the table.
Looking at the table, we can see that as the number of hours increases, the number of miles walked also increases. This indicates that there is a proportional relationship between hours and miles walked.
To find the ratio of the constant of proportionality, we can choose any two data points and calculate the ratio of miles walked to hours.
Let's choose the data point (12, 2) where Julian walked 2 miles in 12 hours.
The ratio of miles walked to hours is:
2 miles / 12 hours = 1/6
So the ratio of the constant of proportionality appears as (1/6).
Therefore, the correct answer is:
(1, 6)
wrong
Apologies for the incorrect response.
Let's reassess the given table of hours and miles walked:
Hours Miles walked
14 1
12 2
34 3
1 4
To find the ratio of the constant of proportionality, we need to compare the miles walked to the corresponding hours.
For example, let's consider the first data point (14, 1). Julian walked 1 mile in 14 hours.
The ratio of miles walked to hours for this data point is:
1 mile / 14 hours
The answer to this ratio is (1/14).
Therefore, the correct answer is:
(1, 14)