To create a linear equation that represents the situation, we can use the following variables:
- \(y\) = distance (in blocks) remaining to your house
- \(x\) = time (in minutes) spent walking
Since you start with 41 blocks to your house and walk 3 blocks per minute, the equation describing the distance remaining after \(x\) minutes is:
\[ y = 41 - 3x \]
To find out how many minutes it will take to get home, we set \(y = 0\) (when you reach home) and solve for \(x\):
\[ 0 = 41 - 3x \]
Rearranging gives us:
\[ 3x = 41 \] \[ x = \frac{41}{3} \] \[ x \approx 13.67 \]
To the nearest minute, it will take approximately 14 minutes to get home.
Thus, the correct response is:
y = 41 - 3x; 14 minutes.