Isabella, Matina, and Mateo are scuba diving. Isabella starts her dive on the deck of a boat 2 meters above sea level. She dives down 10 meters from her starting position. how many meters below sea level is Isabella?

+2 (above)
__ (down)

2 + (-10) = (-10) + 2
__ = -8
Matina is swimming at 4 meters below sea level. she swims up 3 meters and then dives down 3 more meters. how many meters below sea level is Martina?

-4 (below)
__ (up)

-5 (down)
__ (down)

3 + (__) = __

1 answer

Let's solve the two parts of the problem step by step.

Part 1: Isabella's Dive

  1. Starting Position: Isabella starts 2 meters above sea level, which can be represented as +2 meters.
  2. Diving Down: She dives down 10 meters, which we represent as -10 meters.

Now, we calculate her final position:

\[ 2 + (-10) = 2 - 10 = -8 \]

So, Isabella is 8 meters below sea level.

Part 2: Matina's Swim

  1. Starting Position: Matina is swimming at 4 meters below sea level, which we represent as -4 meters.
  2. Swimming Up: She swims up 3 meters, which we represent as +3 meters.

Now, we calculate her position after swimming up:

\[ -4 + 3 = -1 \]

So, Matina is 1 meter below sea level after swimming up.

  1. Diving Down: Then, Matina dives down another 3 meters, which we represent as -3 meters.

Now, we calculate her position after diving down:

\[ -1 + (-3) = -1 - 3 = -4 \]

So, after her dive, Matina is 4 meters below sea level.

Summary:

  • Isabella is 8 meters below sea level.
  • Matina is 4 meters below sea level after her swim and dive.