If Atmospheric Pressure Increases by an Amount $\Delta p$ Which of the Following Statements About the Pressure in a of the Following

Multiple Choice

If atmospheric pressure increases by an amount $\Delta p$ which of the following statements about the pressure in a lake is true? (There could be more than one correct choice.)

A) The absolute (total) pressure does not change.
B) The gauge pressure does not change.
C) The absolute (total) pressure increases by $\Delta p$
D) The absolute (total) pressure increases, but by an amount less than $\Delta p$
E) The gauge pressure increases by $\Delta p$