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. Determine the constant of proportionality, yx . (1 point) The constant of proportionality is miles per hour for this situation.
Answers
GPT-4o mini
To find the constant of proportionality for Julian's walking, we need to determine his walking rate in miles per hour. From the information given, we know that it takes Julian 12 hours to walk 2 miles.
We can calculate his walking rate (constant of proportionality) using the formula:
\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}}
\]
Substituting in the distance and time:
\[
\text{Rate} = \frac{2 \text{ miles}}{12 \text{ hours}} = \frac{1}{6} \text{ miles per hour}
\]
Thus, the constant of proportionality \( y \) in terms of \( x \) (where \( y \) corresponds to miles and \( x \) corresponds to hours) is:
\[
\frac{1}{6} \text{ miles per hour}
\]
So, the constant of proportionality is \( \frac{1}{6} \) miles per hour.
We can calculate his walking rate (constant of proportionality) using the formula:
\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}}
\]
Substituting in the distance and time:
\[
\text{Rate} = \frac{2 \text{ miles}}{12 \text{ hours}} = \frac{1}{6} \text{ miles per hour}
\]
Thus, the constant of proportionality \( y \) in terms of \( x \) (where \( y \) corresponds to miles and \( x \) corresponds to hours) is:
\[
\frac{1}{6} \text{ miles per hour}
\]
So, the constant of proportionality is \( \frac{1}{6} \) miles per hour.