an oceangraphic research vessel comes across a volcano under the sea. The top of the volcano is 450 ft below the surface and the sea floor is -6,700 below sea level. what is the height of the volcano? show what you are doing to get your answer, explain.

Put the numbers on the number line:

---- -6700 ------- -450 ------ 0 ------
^ ^ ^
floor v.top sealev

How far from -6700 to -450?

-450 - (-6700) = -450 + 6700 = 6250

To find the height of the volcano, we need to calculate the difference between the top of the volcano and the sea floor.

Given:
Top of the volcano = 450 ft below the surface
Sea floor = -6,700 ft below sea level

To find the height of the volcano:
Step 1: Convert the sea floor depth to a positive value by multiplying by -1:
Sea floor depth = -6,700 ft * -1 = 6,700 ft

Step 2: Add the depth of the sea floor and the depth of the volcano's top:
Height of the volcano = Top of the volcano + Sea floor depth
Height of the volcano = 450 ft + 6,700 ft
Height of the volcano = 7,150 ft

Therefore, the height of the volcano is 7,150 ft.

Explanation: We subtract the depth of the sea floor from the depth of the volcano's top to determine the height of the volcano. To do this, we convert the sea floor depth to a positive value by multiplying it by -1, and then add it to the depth of the volcano's top. This calculation allows us to find the difference between the two sea-level reference points and find the height of the volcano.