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 equals 41 plus 3 x ; 14 minutes

y=41−3x
; 13 minutes
y equals 41 minus 3 x ; 13 minutes

y=41−3x
; 14 minutes
y equals 41 minus 3 x ; 14 minutes

y=41+3x
; 13 minutes
y equals 41 plus 3 x ; 13 minutes

Answer 1

To create a linear equation that represents the situation, let's define the variables:

- Let \( y \) be the distance to your house in blocks.
- Let \( x \) be the time in minutes that you have been walking.

You start with a distance of 41 blocks, and as you walk, the distance decreases at a rate of 3 blocks per minute. Hence, the correct equation is:

\[
y = 41 - 3x
\]

Now, to find out how many minutes it will take to get home, we need to determine when \( y = 0 \) (at home).

Set the equation to zero:

\[
0 = 41 - 3x
\]

Now, solve for \( x \):

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

Rounding to the nearest minute gives us approximately 14 minutes.

Thus, the correct response is:

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