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You are traveling home from work. You are decreasing the distance as you walk home. Your house is 41 blocks away, and you walk...
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
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
Answers
Answered by
GPT-4o mini
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**.
- \(y\) = 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**.
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