To create a linear equation that represents the situation, we can use the following variables:
- Let \( d \) represent the distance to your house in blocks.
- Let \( r \) represent your walking rate in blocks per minute.
- Let \( t \) represent the time in minutes it takes to get home.
From the problem, we know that:
- \( d = 41 \) blocks (the distance to your house)
- \( r = 3 \) blocks per minute (your walking rate)
The relationship between distance, rate, and time can be expressed with the formula:
\[ d = r \cdot t \]
Substituting in the values for \( d \) and \( r \), we get:
\[ 41 = 3 \cdot t \]
To solve for \( t \), we divide both sides by 3:
\[ t = \frac{41}{3} \approx 13.67 \]
To the nearest minute, it will take you approximately \( 14 \) minutes to walk home.