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.(1 point)
Responses

y=41+3x
y is equal to 41 plus 3 x

y=41−3x
y is equal to 41 minus 3 x

y=41x+3
y is equal to 41 x plus 3

y=41x−3
y is equal to 41 x minus 3
Question 2
Using the linear equation above, how many minutes, to the nearest minute, will it take to get home?(1 point)
Responses

3
3

14
14

24
24

41

Answer 1

To model the situation, we need to create a linear equation where \(y\) represents the distance to your house (in blocks), and \(x\) represents the time in minutes that you've been walking.

Given that:
- You start at 41 blocks (the distance from your house) when you haven't walked at all.
- You walk 3 blocks per minute.

As you walk, the distance to your house decreases by 3 blocks for every minute you walk. Therefore, the equation can be represented as:

\[
y = 41 - 3x
\]

So, the answer to the first question is:

**y = 41 - 3x**
y is equal to 41 minus 3 x

---

Now, for the second question, we need to find out how many minutes it will take to reach home (when \(y = 0\)):

Set \(y = 0\) in the equation:

\[
0 = 41 - 3x
\]

Now, solve for \(x\):

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

Rounding \(13.67\) to the nearest minute gives us \(14\) minutes.

So, the answer to the second question is:

**14** minutes.