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=41−3x;
14 minutes

y=41+3x;
13 minutes
13 minutes

y=41−3x;
13 minutes
13 minutes

y=41+3x;
14 minutes

Answer 1

To create a linear equation that represents the situation, we need to define the variables:

- Let \( y \) be the distance to home (in blocks).
- Let \( x \) be the time (in minutes).

Since you start with a distance of 41 blocks and decrease the distance as you walk 3 blocks per minute, the relationship can be represented by:

\[
y = 41 - 3x
\]

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

\[
0 = 41 - 3x
\]

Rearranging the equation gives:

\[
3x = 41
\]

Dividing both sides by 3:

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

Rounding to the nearest minute gives us \( 14 \) minutes.

So the correct response is:
**y=41−3x; 14 minutes**.