1-3-105
X
00:00
/
00:00
CC
An airplane crosses the Atlantic Ocean 3000 miles with an
airspeed of 600 mph.
The cost C and dollars per passenger is given by C of X
equaling 125 + X / 25 + 33,000 / X, where X is the ground speed,
airspeed, plus or minus wind.
And it's plus or minus because it depends on if it's a headwind
or a tailwind.
So part A says what's the cost per passenger for no wind?
Well, if there's no wind, that means that the ground speed is
just 600 ± 0 because there was no wind.
So literally we're just going to figure out what C of 600 is.
So 125 plus 600 / 25 + 33,000 / 600.
When we plug that into our calculators, we would get 204.
Part B says what's the cost per passenger with a headwind of 50
mph?
If it's a headwind, it's pushing on the plane or it's taking us
slower, it's going against us.
So instead of a ground speed of 600, we're going to now have 600
minus the 50 because it's slowing us down.
So now we want C of 550, and literally we just stick 550 in
everywhere we see our X and we compute the value for the next
part.
It talks about tailwind of 100.
If it's a tailwind, it's coming at the back of us, so it's
pushing the plane faster.
So we'd have 600 + 100 and we would compute what C of 700 is
for the last part.
What's the cost per passenger with a headwind?
Well, headwind means it's going slower, it's going against us,
so we would figure out what CF 500 is.