Question

A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?

Answer 1

`(23)/(4)` feet

Explanation:

The depth of the fish to the surface of water at 1:00 pm = 2
`(1)/(2)` feet

=
`(5)/(2)` feet

The depth of the fish to its initial position at 4:00 pm = 3
`(1)/(4)` feet

=
`(13)/(4)` feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

=
`(5)/(2)` +
`(13)/(4)`

=
`(10 + 13)/(4)`

=
`(23)/(4)`

The position of the fish with respect to the water's surface at 4:00 pm is
`(23)/(4)` feet.