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

y=41+3x

y=41+3x

y=41−3x

Answer 1

To create a linear equation that represents the situation, we can define \( y \) as the distance to your house in blocks and \( x \) as the time in minutes you have been walking.

Initially, the distance to your house is 41 blocks. With each passing minute, you walk 3 blocks closer to home. Therefore, after \( x \) minutes, the distance \( y \) to your house can be represented as follows:

\[
y = 41 - 3x
\]

Here, 41 is the initial distance, and \( 3x \) represents the distance you have walked after \( x \) minutes.

Next, we set \( y = 0 \) to find out how many minutes it will take to reach home:

\[
0 = 41 - 3x
\]

Now, solve for \( x \):

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

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

Thus, the correct answer to the equation is:

**Response:** \( y = 41 - 3x \) and it will take approximately 14 minutes to get home.