To create a linear equation that represents the situation, let's define the variables:
- Let \( y \) be the distance to your house in blocks.
- Let \( x \) be the time in minutes that you have been walking.
You start with a distance of 41 blocks, and as you walk, the distance decreases at a rate of 3 blocks per minute. Hence, the correct equation is:
\[ y = 41 - 3x \]
Now, to find out how many minutes it will take to get home, we need to determine when \( y = 0 \) (at home).
Set the equation to zero:
\[ 0 = 41 - 3x \]
Now, solve for \( x \):
\[ 3x = 41 \] \[ x = \frac{41}{3} \] \[ x \approx 13.67 \text{ minutes} \]
Rounding to the nearest minute gives us approximately 14 minutes.
Thus, the correct response is:
y = 41 - 3x; 14 minutes.