Question

FOR 100 POINTS please answer asap and if you don't know plz don't answer. Thank you A scuba diver was exploring a reef 39.6 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min. distance = rate(time)
a) How is 39.6 m below sea level displayed as rational number? ( 3pts)

b) How long did it take the diver to reach the surface? (4pts)

Answer 1

Answer:

A)

$-39.6$

B)

$4.5\text{ minutes}$

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 below sea level, we can express this as:

$-39.6$

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:

$-39.6+8.8m=0$

The -39.6 represents the diver's current altitude.

The 8.8m represents the diver's rate of ascending 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:

$8.8m=39.6$

Divide both sides by 8.8. So:

$m=4.5$

So, it will take the diver 4 and a half minutes to reach the surface.

And we're done!