Problema Solution

The Warbler House Inn hosts private parties at two different rates. Rate A includes a flat fee of ​$2000 plus ​$30 for each guest in excess of the first 45. Rate B simply charges ​$40 for each guest. For what size parties will using rate B cost less than using rate​ A?

Answer provided by our tutors

Let 'x' represent the number of guests at the party.

2000 + 30x > 45x

........

click here to see the inequality solved for x

........

x <= 133.33

For a party that has less than 134 guests the rate B costs less than rate A.