Question

Three friends all live on the same street that runs west to east. Ben lives 8 blocks from Ann. Carl lives 4 blocks from Ben. If the street is represented by a number line and Ann's house is located at 0, what are the possible locations for Carl's house?

A) 4 blocks to the east of Ann's house
B) 4 blocks to the west of Ann's house
C) 8 blocks to the east of Ann's house
D) 12 blocks to the east of Ann's house

Answer 1

The possible location for Carl's house is 4 blocks to the east of Ann's house.

Step-by-step explanation:

If Ann's house is located at 0 on the number line, and Ben lives 8 blocks from Ann, we can represent Ben's house as 8 on the number line. Option A) 4 blocks to the east of Ann's house: This corresponds to position 0 + 4 = 4, which is to the right of Ann's house.

Option B) 4 blocks to the west of Ann's house: This corresponds to position 0 - 4 = -4, which is to the left of Ann's house.

Option C) 8 blocks to the east of Ann's house: This corresponds to position 0 + 8 = 8, which is to the right of Ann's house.

Option D) 12 blocks to the east of Ann's house: This corresponds to position 0 + 12 = 12, which is also to the right of Ann's house. Similarly, since Carl lives 4 blocks from Ben, we can represent Carl's house as 4 on the number line. Therefore, the possible locations for Carl's house are 4 blocks to the east of Ann's house because he is located 4 blocks to the right of Ben's house.