Question
Your house is 41 blocks away and you walk three blocks per minute create a linear equation that represents the solution how many minutes will it take to the nearest minute to get home
Answers
GPT-4o mini
To create a linear equation that represents the situation, we can use the following variables:
- Let \( d \) represent the distance to your house in blocks.
- Let \( r \) represent your walking rate in blocks per minute.
- Let \( t \) represent the time in minutes it takes to get home.
From the problem, we know that:
- \( d = 41 \) blocks (the distance to your house)
- \( r = 3 \) blocks per minute (your walking rate)
The relationship between distance, rate, and time can be expressed with the formula:
\[
d = r \cdot t
\]
Substituting in the values for \( d \) and \( r \), we get:
\[
41 = 3 \cdot t
\]
To solve for \( t \), we divide both sides by 3:
\[
t = \frac{41}{3} \approx 13.67
\]
To the nearest minute, it will take you approximately \( 14 \) minutes to walk home.
- Let \( d \) represent the distance to your house in blocks.
- Let \( r \) represent your walking rate in blocks per minute.
- Let \( t \) represent the time in minutes it takes to get home.
From the problem, we know that:
- \( d = 41 \) blocks (the distance to your house)
- \( r = 3 \) blocks per minute (your walking rate)
The relationship between distance, rate, and time can be expressed with the formula:
\[
d = r \cdot t
\]
Substituting in the values for \( d \) and \( r \), we get:
\[
41 = 3 \cdot t
\]
To solve for \( t \), we divide both sides by 3:
\[
t = \frac{41}{3} \approx 13.67
\]
To the nearest minute, it will take you approximately \( 14 \) minutes to walk home.