Answer:
Function: [tex]f(x) =\left \ {{150x;\ 0\le x\ \le 50} } \right.[/tex]
Domain: [tex]0 \le x\ \le 50[/tex]
Step-by-step explanation:
Given
Registration Fee = 150
Entrants = 50 (maximum)
Solving (a): Create a function
Let the number of entrants be x.
If 1 entrant pays 150, then x entrants will pay 150x.
So:
[tex]f(x) = 150x[/tex]
The minimum entrant is 0 (i.e. no entrant shows up) and from the question, the maximum is 50
So, the domain can be represented as: [tex]0 \le x\ \le 50[/tex]
Hence, the function is: [tex]f(x) =\left \ {{150x;\ 0\le x\ \le 50} } \right.[/tex]
(b) : The domain
The domain has been described above as:
"The minimum entrant is 0 (i.e. no entrant shows up) and from the question, the maximum is 50"
"So, the domain can be represented as: [tex]0 \le x\ \le 50[/tex]"
