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?
• y = 41 + 3x; 14 minutes
• y = 41 + 3x; 13 minutes
• y = 41 - 3x; 14 minutes
• y = 41 - 3x; 13 minutes
The correct linear equation is y = 41 - 3x, where y represents the distance remaining and x represents the minutes passed.
To find out how many minutes it will take to get home, we can set y = 0 and solve for x:
0 = 41 - 3x
3x = 41
x = 41/3
x = 13.67
Rounding to the nearest minute, it will take 14 minutes to get home.
So, the correct answer is:
• y = 41 - 3x; 14 minutes