Question

You are traveling home from work. You are decreasing the distance as you walk home. Your house is 41 blocks away, and you walk 3 blocks per minute. Create a linear equation that represents the situation. How many minutes will it take, to the nearest minute, to get home?(1 point)
Responses

y=41−3x
; 14 minutes
y equals 41 minus 3 x ; 14 minutes

y=41+3x
; 13 minutes
y equals 41 plus 3 x ; 13 minutes

y=41+3x
; 14 minutes
y equals 41 plus 3 x ; 14 minutes

y=41−3x
; 13 minutes

Answer 1

To create a linear equation that represents the situation, we can define:

- \( y \) as the distance to your house in blocks,
- \( x \) as the time in minutes.

Since you start with 41 blocks away and decrease the distance by 3 blocks per minute, the equation is:

\[ y = 41 - 3x \]

Now, to find out how many minutes it will take to get home, we need to set \( y = 0 \) (when you reach your house):

\[ 0 = 41 - 3x \]

Solving for \( x \):

1. \( 3x = 41 \)
2. \( x = \frac{41}{3} \)
3. \( x \approx 13.67 \) minutes

Rounding to the nearest minute, it will take approximately 14 minutes to get home.

So the correct answer is:

**y=41−3x; 14 minutes**