Question

Henry and his family are eating at a rotating restaurant at the top of a tower. The restaurant rotates clockwise 90° every 15 minutes. When the family sat down, their table was located at (-4, 4) in relation to the center of the restaurant. Where is their table located 30 minutes later, in relation to the center of the restaurant? Use complete sentences to justify your answer.

Answer 1

The table of Henry's family will be at (4, -4)

Explanation:

The problem states that the initial coordinates of Henry's family is at the coordinates (-4, 4). Each 15 minutes the restaurant will rotate 90° every 15 minutes. If we follow the Cartesian plane and the center of the restaurant being at (0, 0) we know that the table will be situated at the (4, 4) coordinates of the restaurant after the first rotation. After the 30 minute mark, the restaurant rotates one more time and moves the table of Henry's family at the (4, -4) coordinates of the restaurant as the center of the restaurant will never move.