Question 3
2 pts
a plane takes about 4.5 hours to fly you 1800 miles from chicago to sacramento. at the
same time, another plane flies from sacramento to chicago. this plane travels with the
same average airspeed, but the flight to chicago takes 3.75 hours. find the average air-
speed of the planes. find the average wind-speed.
average air-speed:
mi/h
average wind-speed:
mi/h
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submit

average air speed of plane=180mph

average wind speed=40mph

Step-by-step explanation:

let y=average air speed of the plane

let a=average wind speed

(y-a)=speed of plane, Chicago to Sacramento

(y+a)=speed of plane, Sacramento to Chicago

distance=travel time×speed

4.5 (y-a)=1800

3.75 (y+a)=1800

4.5y-4.5a=1800

3.75y+3.75a=1800

16.875y-16.875a=6750

16.875y+16.875a=8100

then add it

33.75y=14850

y=440

4.5a=4.5y-1800

4.5a=180

a=40

average air speed plane =180mph

average wind speed=40mph.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.