An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at th
e same rate of descent.
A) Write an equation to represent the height of an airplane (H) as it descends for (m) minutes.
B) Graph the situation.
C) What does the slope represent?
D) What does the y-intercept represent?
E) How long will it take for the airplane to reach 13,000 feet?
A) Write an equation to represent the height of an airplane (H) as it descends for (m) minutes.
B) Graph the situation.
C) What does the slope represent?
D) What does the y-intercept represent?
E) How long will it take for the airplane to reach 13,000 feet?
2 answers:
Answer:
a) h = 30000 - 2000m
b) the graph is attached
c) the slope = -2000
d) 30000ft
e) 8.5 mins
Step-by-step explanation:
Let h be the height of the plane.
Let r be the rate of descending
Let the be the time taken to descend
Height of plane = 30000ft
Rate of descension = 2000ft/min
a) h = 30000 - r(m)
h = 30000 - 2000m
b) when the plane flies at 2000ft/min, it will take
30000/2000
= 15mins
The graph has been attached
c) The slope is said to be the rise/run. It is a negative rise
y = mx + c
Where m is the slope.
Comparing y = mx + c to h = 30000 - 2000m
h = -2000m + 30000
The slope is -2000
d) y intercept represent 30000ft when the plane starts to descend. m = 0
h = -2000(0) + 30000
h = 30000ft
e) To reach 13000 ft, it will take
13000 = 30000 - 2000m
13000 - 30000 = -2000m
-17000 = -2000m
m = -17000/-2000
m = 8.5mins
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