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 2/3 of the way down? (1 point)
Responses

−64.8
ft.
negative 64 point 8 ft.

−32.4
ft.
negative 32 point 4 ft.

−145.8 ft.
negative 145 point 8 ft.

−48.5
ft.
negative 48 point 5 ft.

Answer 1

To find the diver's elevation when he is $\frac{2}{3}$ of the way down to the treasure, we first calculate the depth of that point.

The total depth of the treasure is $97.2$ feet. To find $\frac{2}{3}$ of that depth, we calculate:

$$\text{Depth at }\frac{2}{3}=\frac{2}{3}\times 97.2$$

Calculating that gives:

$$\frac{2}{3}\times 97.2=64.8$$

This means the diver has descended $64.8$ feet down. Since below the surface is represented as a negative elevation, the diver's elevation when he is $\frac{2}{3}$ of the way down is:

$$-64.8\text{ feet}$$

Thus, the correct response is:

−64.8 ft. (negative 64 point 8 ft.)