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*) = −4*t*2 + 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

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

*t*2 + 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)

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

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.