SOLUTION: I know how to solve it but now I have to put it in interval notation. A amusement park charges a flat rate of $ 99 for a birthday party plus $9.00 for each person. If you have

Question 1014994: I know how to solve it but now I have to put it in interval notation.
A amusement park charges a flat rate of $ 99 for a birthday party plus $9.00 for each person. If you have $175 to spend, at most how many people can attend the party?
Found 3 solutions by Boreal, rothauserc, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
175=99+9x; the 99 is fixed costs, the 9x is the variable cost for each person (x=person)
76=9x
x=8 4/9
Eight people can attend. You have to round down to 8.
Interval notation (0,8]. Actually (0,9) would work, too, since 9 doesn't work and there are only integers.
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be the max number of people in the party
1) 9x + 99 < 175
9x < 76
x < 8.44
x is 8 which belongs to [1, 8]

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
I know how to solve it but now I have to put it in interval notation.
A amusement park charges a flat rate of $ 99 for a birthday party plus $9.00 for each person. If you have $175 to spend, at most how many people can attend the party?

Number of people (N) who can attend for $175: , which is saying that 1 - 8 people can attend, or in interval notation: .
Zero people cannot be considered. If you want to know why, just ask yourself, "Would I pay $99 if no-one will attend?"
Unless, of course, there's a contract that states otherwise!
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