To create a linear equation that represents the situation, we need to define the variables:
- Let \( y \) be the distance to home (in blocks).
- Let \( x \) be the time (in minutes).
Since you start with a distance of 41 blocks and decrease the distance as you walk 3 blocks per minute, the relationship can be represented by:
\[ y = 41 - 3x \]
Next, we need to find out how many minutes it will take to get home. To do this, we set \( y = 0 \) when you arrive home and solve for \( x \):
\[ 0 = 41 - 3x \]
Rearranging the equation gives:
\[ 3x = 41 \]
Dividing both sides by 3:
\[ x = \frac{41}{3} \approx 13.67 \]
Rounding to the nearest minute gives us \( 14 \) minutes.
So the correct response is: y=41−3x; 14 minutes.
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