To create a linear equation that represents the situation, we can let:
- \( y \) represent the distance to home (in blocks).
- \( x \) represent the time (in minutes).
Since your house is 41 blocks away and you decrease the distance by 3 blocks each minute, the equation representing the situation would be:
\[ y = 41 - 3x \]
To find how many minutes it takes to get home (when \( y = 0 \)), we can set the equation to 0 and solve for \( x \):
\[ 0 = 41 - 3x \]
Now, rearranging the equation:
\[ 3x = 41 \]
\[ x = \frac{41}{3} \]
Calculating this gives:
\[ x \approx 13.67 \]
Rounding to the nearest minute, it will take approximately 14 minutes to get home.
So the correct response is:
y = 41 - 3x; 14 minutes