Question

3 friends all live on the same street that runs west to east. Beth lives 8 blocks from Ann. Carl lives 4 blocks from Beth. 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?

Answer 1

Carl's house could be located at either +12, +4, -4, or -12 on the number line, considering the possible positions of Beth's house relative to Ann.

Step-by-step explanation:

The student's question revolves around the locations of houses on a street which can be represented by a number line, with specific distances between houses. Ann's house is positioned at 0 on this number line. Beth lives 8 blocks from Ann. Therefore, if we consider the street to run west to east, Beth's house could either be at -8 or +8 on the number line, since it has not been specified in what direction Beth lives in relation to Ann.

Carl lives 4 blocks from Beth. If Beth lives at +8, Carl's house could be at +8 + 4 = +12, or at +8 - 4 = +4. If Beth lives at -8, Carl's house could be at -8 + 4 = -4, or at -8 - 4 = -12. So, the possible locations for Carl's house on the number line are +12, +4, -4, and -12.