Answer:
A)
B)
Step-by-step explanation:
We know that the scuba diver is exploring a reef 39.6 meters below the sea level.
Remember that sea level is always 0 meters in elevation.
We also know that the diver ascended to the surface at a rate of 8.8 meters per minute.
Part A)
Since sea level is the 0th meter, anything below this will be negative.
So, since the diver is 39.6 meters <em>below</em> sea level, we can express this as:
Part B)
We know that the diver ascends at a rate of 8.8 meters per minute.
The diver is currently at 39.6 meters.
Remember that the surface is the sea level. So, we want to find after how many minutes m does the diver reach the 0th meter.
So, we can write the following equation and solve for m:
The -39.6 represents the diver's current altitude.
The 8.8m represents the diver's rate of <em>ascending</em> 8.8 meters per minute m. Notice that 8.8m is positive because we're ascending.
And the 0 represents the 0th meter or sea level or the surface.
So, solve for m. Add 39.6 to both sides:
Divide both sides by 8.8. So:
So, it will take the diver 4 and a half minutes to reach the surface.
And we're done!