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Question

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)
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Equation: Response area
Minutes it will take (to the nearest minute) to get home: Response area
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Answer 1

To create a linear equation that represents your situation, we need to express the distance to your house (in blocks) in terms of time (in minutes).

Given:

• Your house is 41 blocks away.
• You walk 3 blocks per minute.

We can represent the distance \( D \) in blocks as a function of time \( t \) in minutes.

The equation can be written as: \[ D = 41 - 3t \]

In this equation:

• 41 is the starting distance to your house in blocks.
• \( 3t \) is the distance you cover (in blocks) after \( t \) minutes.

Now, to find out how many minutes it will take you to get home, we set \( D = 0 \) (when you reach home):

\[ 0 = 41 - 3t \]

Now, solve for \( t \):

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

Rounding this to the nearest minute gives you approximately 14 minutes.

So, the responses would be:

• Equation: \( D = 41 - 3t \)
• Minutes it will take (to the nearest minute) to get home: 14 minutes