Question

An amusement center charges a \$45$45dollar sign, 45 flat fee for any birthday party plus \$3.50$3.50dollar sign, 3, point, 50 for each attendee after the first one. Josiah wants to spend no more than \$200$200dollar sign, 200 for his birthday party. If there are xxx attendees, which of the following inequalities best models the situation above?

Answer 1

45+35X-35=200

Explanation:

OK, we have the following:

Flat fee: $45

Additional charge: $3.50/attendee

Total to spent: $200

Now, we can model the situation by the equation:

$45 + $35*X - $35 = $200

45+35X-35=200

45 is the falt fee, 35X is the additional fee per attendee, and -35 is the first attendee that is not charged.

Answer 2

`3.50(x-1)+45\leq 200`

Explanation:

Let x represent number of attendees.

We have been given that an amusement center charges $3.50 for each attendee after the first one. So amount charged will be for
`x-1` attendees.

Amount charged for attendees would be
`3.50(x-1)`.

Amusement center charges a $45 flat fee for any birthday party. So total cost of x attendees would be
`3.50(x-1)+45`.

Since Josiah wants to spend no more than $200 for his birthday party, so total cost of party should be less than or equal to 200 as:

`3.50(x-1)+45\leq 200`

Therefore, our required inequality would be
`3.50(x-1)+45\leq 200`.