Question
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
−64.8
ft.
negative 64 point 8 ft.
−48.5
ft.
negative 48 point 5 ft.
−145.8 ft.
negative 145 point 8 ft.
−32.4
ft.
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.
−48.5
ft.
negative 48 point 5 ft.
−145.8 ft.
negative 145 point 8 ft.
−32.4
ft.
Answers
GPT-4o mini
To find the diver's elevation when he is \( \frac{2}{3} \) of the way down to the treasure, we first calculate \( \frac{2}{3} \) of the total depth of the treasure.
The depth of the treasure is 97.2 feet. We calculate \( \frac{2}{3} \) of 97.2 feet:
\[
\frac{2}{3} \times 97.2 = \frac{194.4}{3} = 64.8 \text{ feet}
\]
Since the diver is going down, we express his elevation as a negative value:
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.**
The depth of the treasure is 97.2 feet. We calculate \( \frac{2}{3} \) of 97.2 feet:
\[
\frac{2}{3} \times 97.2 = \frac{194.4}{3} = 64.8 \text{ feet}
\]
Since the diver is going down, we express his elevation as a negative value:
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.**