domian...im lost please help

Question

The amount A of videos that consumers are willing to buy at price p is given by A(p)=−2.3p+24.84. What is the domain of this function?

Answer 1

p = price  So, p > 0

 

But A(p) = number of videos sold.  So, -2.3p+24.84 > 0

 

                                                              -2.3p > -24.84

 

                                                                   p < 10.8

 

We have p > 0 AND p < 10.8

 

So, 0 < p < 10.8

 

Answer 2

Jessica, because we are talking about price, p has to be positive. It can't be 0, because we assume they are not being given away.

 

p > 0