Question

The ocean exploration institute has a submarine that is used to study patterns of fish moment the submarine started at the surface of the water and collected data at three different depths each time the submarine dove 40 feet down write an integer equation to model the situation and determine the lowest depth of the submarine

Answer 1

120 feet

Explanation:

Given that the submarine started at the surface of the water and collected data at three different depths.

As each time the submarine dove 40 feet down, so,

the depth covered in one dive = 40 feet.

From the surface, the depth covered in 1 drive,
`d_1= 40` feet

Similarly, the total depth covered in 2 drive,
`d_2 = 2* 40= 80` feet.

So, for any integer
`n`, the depth covered in
`n` drive,

`d_n=40n`

This is the required integer equation to model the situation.

Since, for three different depths, there must be 3 drive and the submarine will be at the lowest depth after 3rd dive.

So, for the lowest depth, n=3

Hence, the lowest depth = 40x3= 120 feet.