Question

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.​

Answer 1

`y = 180 + 30times(p - 5)`; for
`p\geq 6`

`y = 180; for p\leq 5` [p is the number of people in a team]

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 +
`30times(6 - 5) = $210` needed to be paid.

If any team consists of 7 members, then the total cost will be 180 +
`30times(7 - 5) = $240` .

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

`y = 180 + 30times(p - 5)`; for
`p\geq 6`

`y = 180; for p\leq 5` [p is the number of people in a team]