Question

For your birthday, you want to take a group of friends to an indoor trampoline

center. There are two trampoline parks available on your date. You only have
$250 to spend on your party.
Pricing Information:
Sky High: $50 for a party set up fee and $5 per person after that. Write an inequality model for both trampoline parks.
Jump it Up: $70 for a party set up fee and $2 per person.
In jump it up you can bring 90 friends.
In Sky high, you can bring 40 friends.

Answer 1

Skyhigh : 40 friends

Jump it up : 90 friends

Explanation:

Given that :

Total amount available to spend = $250

JUMP IT UP:

Party set up fee = $70

Amount paid per person = $2

Number of friends = 90

SKY HIGH:

Party set up fee = $50

Amount paid per person = $5

Number of friends = 40

INEQUALITY :

Party setup fee + amount per person * Number of persons ≤ available amount to spend

SKY HIGH:

50 + 5x ≤ 250

5x ≤ 250 - 50

5x ≤ 200

x ≤ 200/5

x ≤ 40

Hence,

Skyhigh = 90 friends

JUMP IT UP:

70 + 2x ≤ 250

2x ≤ 250 - 70

2x ≤ 180

x ≤ 180/2

x ≤ 90

Jump it up = 90