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

For Skyhigh : 40 friends

For Jump it up : 90 friends

Explanation:

Given that :

Maximum spending = $250

SKY HIGH FEES :

Party set up fee = $50 ; Amount paid per person = $2

JUMP IT UP FEES :

Party set up fee = $70 ; Amount paid per person = $2

THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:

Party setup fee + Number of persons * fee per person ≤ maximum spending

SKY HIGH:

50 + 5x ≤ 250

5x ≤ 250 - 50

5x ≤ 200

x ≤ 200/5

x ≤ 40

Hence,

Skyhigh can accommodate 90 friends Given the conditions

JUMP IT UP:

70 + 2x ≤ 250

2x ≤ 250 - 70

2x ≤ 180

x ≤ 180/2

x ≤ 90

Jump it up can accommodate up to 90 friends Given the conditions.