Question

a submarine is 100 meters below sea level when it begins to ascend at a steady rate of 3.0 miles per minute interpret values what is the y-intercept and the slope of this function? Use a complete sentence to answer

Answer 1

y = 3x - 100

Explanation:

below signifies that the 100 is negative

so we already know that the submarine is starting at -100 meters, which is going to be the y-intercept

ascend means to rise up signifying that the slope is going to be positive and we already know that the submarine is ascending 3 miles per minute

so the equation would look like this:

y = 3x - 100

Answer 2

The slope and y-intercept are
`m = 4827(m)/(min)` and
`b = -100\,m`, respectively.

Explanation:

The first-order polynomial has the following form:

`y = m\cdot t + b`

Where:

`m` - Slope, in meters per minute. (Ascension rate)

`t` - Time, in minutes.

`b` - y-Intercept, in meters. (Initial depth)

`y` - The depth of the submarine with respect to the sea level, in meters.

Slope and y-intercept are determined herein:

`m = (3\,(mi)/(min) )\cdot ((1609\,m)/(1\,mi) )`

`m = 4827(m)/(min)`

`b = -100\,m`