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
13 minutes

y=41−3x;
13 minutes
13 minutes

y=41−3x;
14 minutes

y=41−3x;
14 minutes

y=41+3x;
14 minutes

Answer 1

To create a linear equation that represents the situation, we can let:

- \( y \) be the distance to your home (in blocks) at a given time.
- \( x \) be the time in minutes.

Since you start 41 blocks away from home and you walk 3 blocks per minute toward home, the equation will decrease the distance as time increases. So, you would have:

\[ y = 41 - 3x \]

To determine how many minutes it will take to get home, we set \( y = 0 \) (when you arrive at home):

\[ 0 = 41 - 3x \]

Now, solve for \( x \):

\[ 3x = 41 \]

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

Rounding to the nearest minute, this is approximately 14 minutes.

So, the correct response is:

**y=41−3x; 14 minutes**.