Question

Bill has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk?

Coordinate grid with points labeled home, video store, fast snacks, and grocery store. Home is located at negative 2, 3, video store is at 4, 3, fast snacks is at negative 2, negative 4, and grocery store is at 4, negative 4.
(4 points)

13 units
22 units
25 units
26 units

Answer 1

26 units

Explanation:

First he goes from home to the video store.

home (-2,3) --> video store (4,3)

There is no change in his y distance, so the distance he travels is only the change in x.

distance from home to video store = 4 - (-2) = 6 units

Then he goes from the video store to the grocery store

video store (4,3) --> grocery store (4,-4)

There is no change in his x distance, so the distance he travels is only the change in y.

distance from video store to the grocery store = 3 - (-4) = 7 units

Then he goes from the grocery store to the fast snacks

grocery store (4,-4) --> fast snacks (-2,-4)

There is no change in his y distance, so the distance he travels is only the change in x.

distance from the grocery store to the fast snacks = 4 - (-2) = 6 units

Finally he goes from the fast snack store to his house

fast snacks (2,-4) --> house (2,3)

There is no change in his x distance, so the distance he travels is only the change in y.

distance from the fast snacks to his house = 3 - (-4) = 7 units

therefore the total distance he traveled is 6 units + 7 units + 7 units + 6 units = 26 units

I hope this helps!