Answer:
f(x) = 2000c
The range is 0 to 80, inclusive.
Explanation:
Geez, why do they ask real-world questions in such silly ways??
Can you figure out how many 2000# containers a plane could carry? I imagine you can, because if its "cargo capacity," how much cargo it can carry (which leaves out the weight of the plane and fuel), is 160,000#, then you just divide by 2000:
160,000 ÷ 2,000 = 80 containers.
Done, in the real world.
"Hey Bubba, don't put more than 80 containers on that plane!"
"You got it, Boss."
See how easy that was? But then they gotta throw in silly stuff like functions and domains.
What's the "function of the number of containers"? I suppose it's:
(2000#/container)(number of containers)
What kind of answer does that give? Pounds. 1 container = 2000#, 2 containers = 4000#, etc.
What's the MAX number of containers before the plane can't safely fly? 80, because that's 160,000#, the cargo capacity of the plane. That's the limit for how much weight it can carry.
Okay, so let's call this function:
f(x) = 2,000c Where c is # of containers. (And 2000 is lb/container.)
And what's this "domain" thing? It's just all the values of x that "work." So it's 0 up to and including 80. Or "0 to 80 inclusive," or something like that. You should know how to notate that in your answer. 81 doesn't work because the plane would be too heavy.
And I still say it's a silly question, but it did make us 'math', so there ya go. Take care.