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The seating capacity of the Marlins Ballpark, home of the Miami Marlins is listed at 37,442. For each game, the amount of money that the Marlins’ organization brings in as revenue is a function of the number of people, in attendance. Assume each ticket costs $40. Find the problem domain of this function.

Sagot :

The problem domain for the function in the given problem is;

D; 1 ≤ x ≤ 37442

  • To answer this question, we need to first understand what domain means in maths.
  • Domain is defined as the set of all possible input values in a function.

  • We are told that revenue is a function of the number of people. The cost of a ticket is $40. Thus, the function that represents the revenue here is;

R(x) = 40x

Where x is number of people in attendance.

  • Now, since the seating capacity is listed as 37442 and the domain is a set of input values, it means the range of the domain will be from 1 person to 37442 persons. Thus;

Domain of the function is; 1 ≤ x ≤ 37442

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