Question

1. a submarine is descending to examine the seafloor 2,100 feet below the surface. it takes the submarine 2 hours to make this descent. write an equation to represent the relationship between the submarines elevation and time.

Explanation:

Step1: Find descent rate

$\text{Rate} = \frac{\text{Total depth}}{\text{Total time}} = \frac{2100}{2} = 1050$ feet per hour

Step2: Define variables

Let $y$ = elevation (feet, negative as below surface), $t$ = time (hours). Initial elevation is $0$.

Step3: Write linear equation

Elevation = Initial elevation - (rate × time)
$y = 0 - 1050t$

Answer:

$y = -1050t$
(where $y$ is the submarine's elevation in feet, $t$ is time in hours, and negative values indicate position below the surface)