Question

The US Navy is conducting a submarine training. The older model submarine can dive down 3 feet per minute. Betty Kay records that after 45 minutes into the training exercise the submarine is 155 feet below sea level. Write an equation in slope intercept form to model this situation.m= ___Given points (__,__)Equation y=__x + __)

Answer 1

The Slope-Intercept form of the equation of a line, is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

According to the information given in the exercise, you know that The older model submarine can dive down 3 feet per minute. Then, you can identify that:

`m=3`

Let be "y" the location of the submarine (in feet) and "x" the number of minutes.

You can identify that the line passes through this point:

`(45,155)`

Knowing the slope of the coordinates of a point on the line, you can find "b":

`\begin{gathered} y=mx+b \\ 155=3(45)+b \\ 155=135+b \\ 155-135=b \\ b=20 \end{gathered}`

Therefore, knowing "b" and "m", you get that the equation of the line in Slope-Intercept form that models this situation, is:

`y=3x+20`