SOLUTION: An airplane covered 9 miles of its route while decreasing its altitude by 36,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An airplane covered 9 miles of its route while decreasing its altitude by 36,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1      Log On


   



Question 92573: An airplane covered 9 miles of its route while decreasing its altitude by 36,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]
A) -0.55 B) -0.23 C) -0.76 D) – 0.11

Ok, I got an answer but I want to make sure that mine is correct.

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is C
.
The vertical distance is a negative 36,000 feet which you need to divide by 5,280 ft to find
the number of miles of the descent. The result of this division is:
.
-36000%2F5280+=+-6.818182
.
where the negative sign identifies the fact that the plane is dropping instead rising. The
altitude is decreasing, not increasing.
.
Slope is defined as the vertical change divided by the corresponding horizontal change.
.
The vertical change is -6.818182 and the corresponding horizontal change is 9 miles. The
slope is the division of the horizontal change into the corresponding vertical change which
is:
.
-6.818182%2F9+=+-0.757576
.
This rounds to a slope of -0.76 which is answer C.
.