To create a linear equation that represents the situation, we can let:
- \( y \) be the distance to your home (in blocks) at a given time.
- \( x \) be the time in minutes.
Since you start 41 blocks away from home and you walk 3 blocks per minute toward home, the equation will decrease the distance as time increases. So, you would have:
\[ y = 41 - 3x \]
To determine how many minutes it will take to get home, we set \( y = 0 \) (when you arrive at home):
\[ 0 = 41 - 3x \]
Now, solve for \( x \):
\[ 3x = 41 \]
\[ x = \frac{41}{3} \approx 13.67 \]
Rounding to the nearest minute, this is approximately 14 minutes.
So, the correct response is:
y=41−3x; 14 minutes.
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