Problema Solution
The Warbler House Inn hosts private parties at two different rates. Rate A includes a flat fee of $1600 plus $30 for each guest in excess of the first 25. 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
set up two equations. let x be the number of guests
rate A: 1600 + 30(x - 25)
rate B: 40x
set up an inequality so that rate B is less than rate A
40x < 1600 + 30(x - 25)
solve for x
40x < 1600 + 30x - 750
40x < 850 + 30x
subtract 30x from both sides
10x < 850
divide both sides by 10
x < 8.5
So if there are less than 8 guests, rate B will cost less than rate A
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