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. (1 point) Responses 517−−√5175 square root of 17 217−−√2172 square root of 17 617−−√6176 square root of 17 317−−√3173 square root of 17 Skip to navigation Item 1 , Fully Attempted. Item 2 , Fully Attempted. Item 3 , Fully Attempted. Item 4 , Unattempted. Item 5 , Unattempted. Previous Next

Answer 1

To determine the total distance Paul will travel, we need to find the distances between his three locations: Jacob's house, the grocery store, and his home.

To compute these distances, we can use the distance formula, which is defined as:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

However, since you have not provided the exact coordinates of the locations, I will assume you have a graph or points labeled for Jacob's house, the grocery store, and home.

Steps to find the total distance:

1. Identify the coordinates:

   • Let the coordinates of Jacob's house be (x₁, y₁).
   • Let the coordinates of the grocery store be (x₂, y₂).
   • Let the coordinates of Paul's home be (x₃, y₃).

2. Calculate the distance from Jacob's house to the grocery store: \[ D_1 = \sqrt{(x₂ - x₁)^2 + (y₂ - y₁)^2} \]

3. Calculate the distance from the grocery store to Paul's home: \[ D_2 = \sqrt{(x₃ - x₂)^2 + (y₃ - y₂)^2} \]

4. Sum the distances for the total distance Paul travels: \[ D_{total} = D_1 + D_2 \]

If the graph or coordinates are available, please share them so that I can help you calculate the exact total distance Paul will travel. Otherwise, you can follow the above steps to compute it based on the coordinates you see in your graph.