Math

QuestionA shark dives 5.5 m, then 3.5 m. What is its depth relative to the start? Answer negative if deeper. Type your answer in meters.

Studdy Solution

STEP 1

Assumptions1. The initial position of the shark is considered as the reference point (0 meters). . The shark first dives5.5 meters.
3. Then, it swims for a while (this does not change its depth).
4. After that, it dives an additional3.5 meters.
5. Diving is considered as going deeper, so it is represented with a negative sign.

STEP 2

First, we need to represent the first dive of the shark. Since diving is considered as going deeper, it is represented with a negative sign.
Firstdive=5.5metersFirst\, dive = -5.5\, meters

STEP 3

Next, we represent the second dive of the shark. Again, since diving is considered as going deeper, it is represented with a negative sign.
Seconddive=3.5metersSecond\, dive = -3.5\, meters

STEP 4

Now, we add the two dives to find the total depth of the shark relative to its initial position.
Totaldepth=Firstdive+SeconddiveTotal\, depth = First\, dive + Second\, dive

STEP 5

Plug in the values for the first dive and the second dive to calculate the total depth.
Totaldepth=5.5meters+3.5metersTotal\, depth = -5.5\, meters + -3.5\, meters

STEP 6

Calculate the total depth of the shark relative to its initial position.
Totaldepth=5.5meters+3.5meters=9.0metersTotal\, depth = -5.5\, meters + -3.5\, meters = -9.0\, metersThe shark is9.0 meters deeper than its initial position.

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