A diver searches for a sunken treasure that is 97.2

feet below the surface. What is the diver's elevation when he is 2/3 of the way down? (1 point)
Responses

−32.4
ft.
negative 32 point 4 ft.

−64.8
ft.
negative 64 point 8 ft.

−48.5
ft.

1 answer

To find the diver's elevation when he is \( \frac{2}{3} \) of the way down to the treasure that is \( 97.2 \) feet below the surface, you can follow these steps:

  1. Calculate \( \frac{2}{3} \) of \( 97.2 \): \[ \frac{2}{3} \times 97.2 = \frac{194.4}{3} = 64.8 \text{ feet} \]

  2. Since the treasure is below the surface, the diver's elevation when he is \( \frac{2}{3} \) of the way down will be \( -64.8 \) feet.

So the diver's elevation when he is \( \frac{2}{3} \) of the way down is: \[ \text{-64.8 ft} \]

The correct response is: \[-64.8 \text{ ft.}\]