To create a linear equation that represents the situation described, let's define our variables:
- \( y \) represents the distance to your house in blocks (which starts at 41 blocks).
- \( x \) represents the time in minutes.
Since you are walking towards home, the distance decreases as time goes on. You walk 3 blocks per minute, so for every minute that passes, the distance to your house decreases by 3 blocks. Thus, the equation that models this situation is:
\[ y = 41 - 3x \]
Now, we will find out how many minutes it will take to get home. You reach home when \( y = 0 \):
\[ 0 = 41 - 3x \]
Solving for \( x \):
\[ 3x = 41 \] \[ x = \frac{41}{3} \approx 13.67 \]
Rounding to the nearest minute, it will take approximately 14 minutes to get home.
The correct response, summarizing this information, is:
y = 41 - 3x; 14 minutes.