Hot dog vender word problem.
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by
x(t) = −4t2 + 20t + 76,
where t is the number of hours since 10 AM, 0 ≤ t ≤ 4.
(a) Find an expression for the revenue per hour R as a function of x.
R(x) = 1
(b) Find and simplify (R http://www.webassign.net/images/composite.gif x)(t).
What does this represent?
(c) What is the revenue per hour at noon?
I am just lost on this! Maybe my brain isn't processing it or something lol, but I have no clue.3
Re: Hot dog vender word problem.
Quote:
Originally Posted by
xxStrikeback 
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by
x(
t) = −4
t2 + 20
t + 76,
where
t is the number of hours since 10 AM, 0 ≤
t ≤ 4.
(a) Find an expression for the revenue per hour
R as a function of
x.
R(
x) = 1
(b) Find and simplify (
R http://www.webassign.net/images/composite.gif x)(
t).
What does this represent?
(c) What is the revenue per hour at noon?
I am just lost on this! Maybe my brain isn't processing it or something lol, but I have no clue.3
revenue per hour = (number of dogs sold per hour)(price)
 = x(t) \cdot 2)
Re: Hot dog vender word problem.
OMG, lol, I can't believe it was just that. I was thinking that all along but it just seemed like it couldn't be right because the questions before and after this were all very complicated.
