To determine the ratio of the cost of proportionality from the provided data, we first need to understand the relationship between the hours walked and the miles walked.
From the data table:
- At 1/4 hour, you walked 1 mile
- At 1/2 hour, you walked 2 miles
- At 3/4 hour, you walked 3 miles
- At 1 hour, you walked 4 miles
The relationship between hours and miles is linear and can be described by the equation:
\[ \text{Miles} = \text{Hours} \times 4 \]
This shows that for every hour walked, 4 miles are covered. To express the miles in terms of hours, for every 1 hour, 4 miles are completed, leading us to a ratio of miles to hours:
\[ \text{Miles/Hours} = 4/1 \]
Now let's analyze the options given:
- A) 4, 1
- B) 1, 4
- C) 1/4, 1
- D) 1, 1/4
The correct ratio of miles to hours from our analysis is \(4:1\), corresponding to option A) 4, 1.
Thus, the answer is A) 4, 1.