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 317−−√ 3 square root of 17 617−−√ 6 square root of 17 517−−√ 5 square root of 17 217−−√

Answer 1

To find the total distance Paul will travel from Jacob's house to the grocery store and then home, we need to consider the coordinates of the three locations: Jacob's house, the grocery store, and Paul's house. Once we have these coordinates, we can calculate the distances.

1. Let's denote:

   • Jacob's house as point J (x1, y1)
   • Grocery store as point G (x2, y2)
   • Paul's house as point P (x3, y3)

2. The distance \( d \) between any two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

3. Calculate the distance from Jacob's house (J) to the grocery store (G): \[ d_{JG} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

4. Calculate the distance from the grocery store (G) to Paul's house (P): \[ d_{GP} = \sqrt{(x_3 - x_2)^2 + (y_3 - y_2)^2} \]

5. The total distance Paul travels is: \[ d_{total} = d_{JG} + d_{GP} \]

Unfortunately, you haven't provided the coordinates of the three locations or the graph itself. Without this information, I cannot calculate the total distance Paul will travel.

Please provide the coordinates or the specific distances indicated in the graph, and I will be able to assist you further.