Chapter 9.5, Problem 25IP

a.

To determine

To graph the equation using slope and y-intercept.

Explanation of Solution

Given information:

The given statement is:

“The altitude in feet $\text{y}$ of an albatross who is slowly landing can be given by $\text{y}=\text{300}-\text{50x}$ , where $\text{x}$ represents the time in minutes.”

Graph:

The slope of the equation is $-50$ and the y-intercept is $300$ .

Graph the y-intercept at $\left(0,300\right)$ .

Using the slope $-50$ locate another point on the line.

Move $\text{y}$ down by $\text{50 units}$ and move $\text{x}$ right by $1\text{ unit}$ .

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

Draw a line through the two points.

The graph is:

  

b.

To determine

To state and describe what the slope and y-intercept represents.

Answer to Problem 25IP

The y-intercept $300$ represents the height of the albatross.

The slope of the equation $-50$ represents the rate of height the albatross is descending per minute.

Explanation of Solution

Given information:

The given statement is:

“The altitude in feet $\text{y}$ of an albatross who is slowly landing can be given by $\text{y}=\text{300}-\text{50x}$ , where $\text{x}$ represents the time in minutes.”

The y-intercept $300$ represents the height of the albatross.

The slope of the equation $-50$ represents the rate of height the albatross is descending per minute.