Question

A submarine is 100 m below sea level when it begins to ascend at a steady rate of 3.0 m/min.  Interpret values - What is the y-intercept & the slope of this function

please help ​

Answer 1

`y=3x-100`

see the explanation

Explanation:

Let

x ----> the time in minutes

y ----> the deep of the submarine in meters

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have

The unit rate or slope is equal to

`m=3.0\ (m)/(min)`

That means, the submarine ascend 3.0 meters every minute

The y-intercept is equal to

`b=-100\ m` --> is negative because is below the sea level (the sea level represent level 0.0)

Represent the deep of the submarine before the submarine begin to ascend

substitute

`y=3x-100`