The cost to join an
intramural sports league is $180 per team and includes
the first five team members. for each additional team
member, there is a $30 fee. you plan to have nine
people on your team. write and graph a step function
that represents the relationship between the number
p of people on your team and the total cost of joining
the league.

Step-by-step explanation:

It is given that, no matter how small is the number of players, it will cost $180 to build up the team. Up to 5 members can be added within that $180, extra any amount need not to be paid.

If the team requires 6 members, then total 180 + needed to be paid.

If any team consists of 7 members, then the total cost will be 180 + .

Hence we represent y as the costing of forming the team, then it can be represented by

; for

[p is the number of people in a team]

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: