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

Answer:

y = 3x - 100

Step-by-step 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

Answer:

The slope and y-intercept are $m = 4827\frac{m}{min}$ and $b = -100\,m$, respectively.

Step-by-step 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:

$m = (3\,\frac{mi}{min} )\cdot (\frac{1609\,m}{1\,mi} )$

$m = 4827\frac{m}{min}$

$b = -100\,m$