A diver searches for a sunken treasure that is 97.2

Question

feet below the surface. What is the diver's elevation when he is 23 of the way down? (1 point)
Responses

−145.8 ft.
negative 145 point 8 ft.

−48.5
ft.
negative 48 point 5 ft.

−64.8
ft.
negative 64 point 8 ft.

−32.4
ft.

Answer 1

To determine 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, we first need to calculate how far down that is:

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

2. The diver's elevation when being 64.8 feet down would be: \[ \text{Elevation} = -64.8 \text{ ft} \]

Hence, the correct response is: −64.8 ft.