A scuba diver dove from the surface of the ocean to an elevation of −99
9
10
feet at a rate of −30.7 feet per minute. After spending 14 minutes at that elevation, the diver ascended to an elevation of −8
9
10
feet. The total time for the dive so far was 21
1
8
minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.
what are all these broken lines? Just type the numbers you want to use.
And if you want to use fractions, just type them normally, as in 3/4, 1/8, etc.
I spell copy/paste from some word processor. A big clue is the garbled line feeds and the em-dash minus signs.
To find the rate of change in the diver's elevation during the ascent, we first need to find the change in elevation and the change in time during the ascent.
The diver started at an elevation of -99,910 feet and ascended to an elevation of -8,910 feet. Therefore, the change in elevation during the ascent is:
-8,910 feet - (-99,910 feet) = 91,000 feet.
The total time for the dive so far was 21 1/8 minutes, and the diver spent 14 minutes at the lower elevation. Therefore, the change in time during the ascent is:
21 1/8 minutes - 14 minutes = 7 1/8 minutes.
Now, we can calculate the rate of change in the diver's elevation during the ascent by dividing the change in elevation by the change in time:
91,000 feet / 7 1/8 minutes.
First, let's convert 7 1/8 minutes into a fractional form:
7 1/8 minutes = 57/8 minutes.
Now, divide 91,000 feet by 57/8 minutes:
91,000 feet / 57/8 minutes = 91,000 feet * 8/57 minutes.
Multiply the numerator and denominator to get the final answer:
(91,000 feet * 8) / 57 minutes = 8,728,000 feet / 57 minutes.
Finally, round the answer to the nearest hundredth:
8,728,000 feet / 57 minutes ≈ 153,271.93 feet per minute.
Therefore, the rate of change in the diver's elevation during the ascent is approximately 153,271.93 feet per minute.