To create a linear equation to represent the situation, we can define the variables as follows:
- Let \( y \) represent the distance to home (in blocks).
- Let \( x \) represent the time (in minutes) that you have been walking.
Initially, you start 41 blocks away from home, and you decrease the distance by walking 3 blocks per minute. Therefore, the equation can be formulated as:
\[ y = 41 - 3x \]
To find out how many minutes it takes to reach home, we need to set \( y = 0 \) since that represents being at home:
\[ 0 = 41 - 3x \]
Now, solving for \( x \):
\[ 3x = 41 \] \[ x = \frac{41}{3} \] \[ x \approx 13.67 \]
Rounding to the nearest minute, it will take approximately 14 minutes to get home.
Thus, the correct response is:
y = 41 - 3x; 14 minutes