Source: Extra Practice

A submarine is at 250 m below sea level. It rises 75 m, then dives 120 m. What is its final depth?

Options

Option A is correct

-295 m

Option B

205 m

Option C

-55 m

Option D

295 m

Explanation

The correct option is -295 m.\n1. Represent the initial depth below sea level as a negative integer: -250 m.\n2. A rise of 75 m means adding 75: 250+75-250 + 75.\n3. A dive of 120 m means subtracting 120: 120-120.\n4. The arithmetic expression is: 250+75120-250 + 75 - 120.\n5. Evaluate the expression:\n 250+75=175-250 + 75 = -175.\n 175120=295-175 - 120 = -295.\nSo, the final depth is -295 m, meaning 295 m below sea level.\nIncorrect options arise from errors in representing 'below sea level' as a negative integer, or incorrect application of addition and subtraction rules for integers, especially when dealing with 'rise' and 'dive'.