Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league? x
y
2
11
4
22

24 coaches and 120 players
26 coaches and 143 players
28 coaches and 168 players
30 coaches and 180 players

26 coaches and 143 players

Step-by-step explanation:

we can set up a proportion:

Our original proportions, 4/22 and 2/11 simplify to 2/11

We basically need a proportion that simplifies to 2/11, So let's simplify each proportion

24 coaches and 120 players: 24/120 simplified ⇒ 1/5

26 coaches and 143 players: 26/143 simplified ⇒ 2/11

28 coaches and 168 players: 28/168 simplified ⇒ 1/6

30 coaches and 180 players: 30/180 simplified ⇒ 1/6

The porportion, 26 coaches and 143 players simplifies to our orginal

proportion, 2/11, therefore it is proportional

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk