Question

Ben's house 3- museum 2- 1 0 - -7 -6 -4 = 2 2 3 4 5 6 7 0 1 - 1 - =3 supermarket lake -4 -5- -7 Each unit on the graph is equal to 1 block. How many blocks does Ben need to walk from his house to reach the supermarket?

A) 4 blocks
B) 5 blocks
C) 7 blocks
D) 9 blocks

Answer 1

Ben needs to walk 7 blocks (option c) from his house to reach the supermarket.

Step-by-step explanation:

Given the grid where each unit represents 1 block, Ben's house is at coordinates (3, 2) and the supermarket is at coordinates (0, -4).

To find the number of blocks Ben needs to walk from his house to the supermarket, we calculate the Manhattan distance, which is the sum of the absolute differences in the x and y coordinates between the two points.

The difference in x-coordinates:
`\( |3 - 0| = 3 \)` blocks.

The difference in y-coordinates:
`\( |2 - (-4)| = 6 \)` blocks.

Adding these differences together (3 + 6), we get a total of 9 blocks. However, since Ben cannot move diagonally but only in vertical and horizontal directions, the path follows a combination of vertical and horizontal movements.

Ben can move 3 blocks horizontally from (3, 2) to (0, 2) and then 4 blocks vertically from (0, 2) to (0, -4). So, the total distance Ben needs to walk, following only vertical and horizontal paths, is 7 blocks. Hence, the correct answer is C) 7 blocks.