Question

a submarine is at an underwater depth of 700 feet. it then rises 300 feet, dives 600 feet, and finally dives another 500 feet. what is the submarines final depth?

the submarines final depth is feet underwater.
(type an integer or a decimal.)

Explanation:

Represent the depth changes mathematically

$$ \text{Initial depth} = -700 \text{ feet} $$

$$ \text{Rise of } 300 \text{ feet} = +300 $$

$$ \text{Dive of } 600 \text{ feet} = -600 $$

$$ \text{Dive of } 500 \text{ feet} = -500 $$

Calculate the final position

$$ \text{Final position} = -700 + 300 - 600 - 500 = -1500 \text{ feet} $$

Convert position to depth underwater

$$ \text{Final depth} = 1500 \text{ feet underwater} $$

Answer:

A submarine is at an underwater depth of 700 feet. It then rises 300 feet, dives 600 feet, and finally dives another 500 feet. What is the submarine's final depth?

The submarine's final depth is <blank>1500</blank> feet underwater.