Question

It takes Julian 12 hour to walk 2 miles. He decides to start working 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 (14,1) open paren 1 fourth comma 1 close paren (12, 2) (12, 2) (34, 3) (34, 3) (1,4) open paren 1 comma 4 close paren

Answer 1

To find the ratio that represents the constant of proportionality for Julian's walking speed, we can use the information provided: it takes him 12 hours to walk 2 miles.

1. Calculate Julian's rate (miles per hour): \[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{2 \text{ miles}}{12 \text{ hours}} = \frac{1}{6} \text{ miles per hour} \]

2. Identify the points that correspond to this ratio: The constant of proportionality is the ratio of distance to time. Since 2 miles corresponds to 12 hours, we can represent this as the point (12, 2).

From the given responses, we can see that (12, 2) corresponds to this rate. Thus, the correct answer is:

(12, 2)