# Thread: 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 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 2. ## Re: Hot dog vender word problem. 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) = −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 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)

$R(x) = x(t) \cdot 2$

3. ## 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.