Chapter 8.7, Problem 25PPS

(a)

To determine

To calculate: To graph the equation

Answer to Problem 25PPS

Graph of equation is plotted.

Explanation of Solution

Given information: The altitude in feet $y$ of an albatross who is slowly landing is given be $y=300-50x$ , where $x$ represents the time in minutes

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $y=300-50x$

Comparing the above equation to slope intercept form of line $y=mx+c$ , slope and Y-intercept are

  $\begin{array}{l}m=-50\\ c=300\end{array}$

Thus, y-intercept is at $\left(0,300\right)$ , which is the first point

Also, $m=-50$ , this means that one will go down 50 (down) and run 1(to the right)

Thus, other point is $\left(1,250\right)$

On plotting the graph,

  

(b)

To determine

To calculate: To state slope and y-intercept of the graph of the equation and describe what they represent

Answer to Problem 25PPS

Slope is $-50$ and y-intercept is $300$

Explanation of Solution

Given information: The altitude in feet $y$ of an albatross who is slowly landing is given be $y=300-50x$ , where $x$ represents the time in minutes

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $y=300-50x$

Comparing the above equation to slope intercept form of line $y=mx+c$ , slope and Y-intercept are

  $\begin{array}{l}m=-50\\ c=300\end{array}$

Slope represents the rate at which albatross is landing

Y-intercept represents the initial height of albatross