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
14 minutes

y=41−3x;
13 minutes
13 minutes

y=41+3x;
13 minutes
13 minutes

y=41+3x;
14 minutes
14 minutes

Answer 1

To create a linear equation that represents the situation, we can use the following variables:

- \(y\) = distance (in blocks) remaining to your house
- \(x\) = time (in minutes) spent walking

Since you start with 41 blocks to your house and walk 3 blocks per minute, the equation describing the distance remaining after \(x\) minutes is:

\[
y = 41 - 3x
\]

To find out how many minutes it will take to get home, we set \(y = 0\) (when you reach home) and solve for \(x\):

\[
0 = 41 - 3x
\]

Rearranging gives us:

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

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

Thus, the correct response is:

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