Mr. Mole left his burrow and started digging his way down at a constant rate.
The table compares Mr. Mole's altitude relative to the ground (in meters) and the time since he left (in minutes). What is the altitude of Mr. Mole's burrow?

Table is below

Mr. Mole's burrow was at an altitude of 6 meters below the ground.

Step-by-step explanation:

Step 1:

We need to determine the distance that Mr. Mole covers in a single minute.

To do that we divide the difference in values of altitude by the difference in the time periods.

For the first case, Mr. Mole had traveled -18 meters in 5 minutes.

We also have, he traveled -25.2 meters in 8 minutes.

Step 2:

The distance he covered in 1 minute

So with every minute, Mr. Mole digs down an additional 2.4 meters below the surface.

To determine where Mr. Mole's burrow is we subtract the distance traveled in 5 minutes from -18.

The altitude of Mr. Mole's burrow

So Mr. Mole's burrow was at an altitude of 6 meters below the ground i.e. -6 meters.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: