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

I believe it will be at (4,-4) in relation to the center of the restaurant

because if you look at how a graph is set up then you rotate it 90 degrees two time you get the tower at (4,-4) in relation to the center of the building

Answer 2

After 30 minutes, they would be located at (4,- 4).

Explanation:

Consider the provide information.

The restaurant rotates clockwise 90° every 15 minutes.

After 30 minutes they rotate 180° clockwise.

After the first 15 minutes, their location can be located at (4, 4) and after the second 15 minutes, their location can be located at (4,-4).

Thus, 30 minutes later, they would be located at (4,- 4).