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
; 13 minutes
y equals 41 minus 3 x ; 13 minutes

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

Answer 1

To create a linear equation to represent the situation, we can define the variables as follows:

- Let \( y \) represent the distance to home (in blocks).
- Let \( x \) represent the time (in minutes) that you have been walking.

Initially, you start 41 blocks away from home, and you decrease the distance by walking 3 blocks per minute. Therefore, the equation can be formulated as:

\[ y = 41 - 3x \]

To find out how many minutes it takes to reach home, we need to set \( y = 0 \) since that represents being at home:

\[ 0 = 41 - 3x \]

Now, solving for \( x \):

\[ 3x = 41 \]
\[ x = \frac{41}{3} \]
\[ x \approx 13.67 \]

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

Thus, the correct response is:

**y = 41 - 3x; 14 minutes**