To find the total distance Paul will travel on his way home, we need to calculate the distance between each pair of points and then add them up.
From Paul's friend Jacob's house to the grocery store, he will travel a distance of 5 blocks (2 + 3 blocks).
From the grocery store to Paul's house, he will travel a distance of 7 blocks (3 + 4 blocks).
Therefore, the total distance Paul will travel on his way home is 5 + 7 = 12 blocks.
Paul's mom asks him to stop at the grocery store on his way home from his friend Jacob's house to pick up some ingredients she needs for dinner. The graph below shows the location of all three places Paul will be this afternoon. Find the total distance Paul will travel on his way home.
3 answers
If Paul drops the groceries he purchased halfway between the grocery store and his home, where would that location be on the graph? The graph below shows the location of all three places Paul will be this afternoon. Find the total distance Paul will travel on his way home.
We can find the location where Paul would drop the groceries by finding the midpoint between the grocery store and his home on the graph.
The x-coordinate of the midpoint is the average of the x-coordinates of the grocery store (3 blocks) and Paul's home (0 blocks). Therefore, the x-coordinate of the midpoint is (3 + 0) / 2 = 1.5 blocks.
The y-coordinate of the midpoint is the average of the y-coordinates of the grocery store (2 blocks) and Paul's home (0 blocks). Therefore, the y-coordinate of the midpoint is (2 + 0) / 2 = 1 block.
Therefore, if Paul drops the groceries halfway between the grocery store and his home, the location would be at (1.5, 1) on the graph.
To find the total distance Paul will travel on his way home, we need to calculate the distance between each pair of points and then add them up.
From Paul's friend Jacob's house to the grocery store, he will travel a distance of 5 blocks (2 + 3 blocks).
From the grocery store to the location where he drops the groceries, he will travel a distance of 1.5 blocks (0 - 1.5 blocks).
From the location where he drops the groceries to his home, he will travel a distance of 3.5 blocks (0 - 3.5 blocks).
Therefore, the total distance Paul will travel on his way home is 5 + 1.5 + 3.5 = 10 blocks.
The x-coordinate of the midpoint is the average of the x-coordinates of the grocery store (3 blocks) and Paul's home (0 blocks). Therefore, the x-coordinate of the midpoint is (3 + 0) / 2 = 1.5 blocks.
The y-coordinate of the midpoint is the average of the y-coordinates of the grocery store (2 blocks) and Paul's home (0 blocks). Therefore, the y-coordinate of the midpoint is (2 + 0) / 2 = 1 block.
Therefore, if Paul drops the groceries halfway between the grocery store and his home, the location would be at (1.5, 1) on the graph.
To find the total distance Paul will travel on his way home, we need to calculate the distance between each pair of points and then add them up.
From Paul's friend Jacob's house to the grocery store, he will travel a distance of 5 blocks (2 + 3 blocks).
From the grocery store to the location where he drops the groceries, he will travel a distance of 1.5 blocks (0 - 1.5 blocks).
From the location where he drops the groceries to his home, he will travel a distance of 3.5 blocks (0 - 3.5 blocks).
Therefore, the total distance Paul will travel on his way home is 5 + 1.5 + 3.5 = 10 blocks.