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Genrish500 [490]
3 years ago
8

A local ice rink is hosting a skating competition that will determine whether or not skaters qualify to compete regionally. The

registration for this event is limited to 50
entrants. The registration fee is $150. Consider a function that represents the total registration fees the rink can collect for this event.


Describe the domain of the function.


Please help !
Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

Function: f(x) =\left \ {{150x;\ 0\le x\ \le 50} } \right.

Domain: 0 \le x\ \le 50

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:

f(x) = 150x

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: 0 \le x\ \le 50

Hence, the function is:  f(x) =\left \ {{150x;\ 0\le x\ \le 50} } \right.

(b) : The domain

The domain has been described above as:

<em>"The minimum entrant is 0 (i.e. no entrant shows up) and from the question, the maximum is 50"</em>

<em>"So, the domain can be represented as: </em>0 \le x\ \le 50<em>"</em>

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