Question

mia walked from the flower shop to the restaurant and then from the restaurant to the harbor. how far did mia walk in all?
(there is a coordinate grid with various locations marked: restaurant, flower shop, art supply store, harbor, party supply store, and a legend for these locations.)
□ units

Explanation:

Step1: Find coordinates of each location

• Flower shop (let's call it F): From the graph, its coordinates are \((1, -1)\) (since it's at \(x = 1\), \(y=-1\)).
• Restaurant (R): Coordinates are \((-1, -1)\) ( \(x=-1\), \(y = -1\)).
• Harbor (H): Coordinates are \((-1, 3)\) ( \(x=-1\), \(y = 3\)).

Step2: Calculate distance from F to R

The distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). But since F and R have the same \(y\)-coordinate (\(y=-1\)), it's a horizontal distance. So \(d_{FR}=\vert x_R - x_F\vert=\vert - 1-1\vert=\vert - 2\vert = 2\) units.

Step3: Calculate distance from R to H

R and H have the same \(x\)-coordinate (\(x = - 1\)), so it's a vertical distance. \(d_{RH}=\vert y_H - y_R\vert=\vert3-(-1)\vert=\vert4\vert = 4\) units.

Step4: Total distance Mia walked

Total distance \(=d_{FR}+d_{RH}=2 + 4=6\) units.

Answer:

6