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

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

y=41−3x
; 13 minutes

Answer 1

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**