The number of students working the concession stands at a football game can be represented by f(x)=x/50, where x is the number of tickets sold. Describe the relevant domain of the function.
Is it x <=50?
no. What if x = -20?
So, you must have x >= 0
Also, I assume the stadium has some kind of maximum capacity, say M.
Thus you need 0 <= x <= M
Of course, you might also have some kind of maximum number of students that can work at once, further limiting the domain.
No, the relevant domain of the function f(x) = x/50 is not x ≤ 50. In this context, the number of students working at the concession stands is directly proportional to the number of tickets sold, with a ratio of 1 student for every 50 tickets sold.
Since the number of tickets sold (x) can be any positive integer (including zero), the relevant domain of the function is x ≥ 0. This means that the function can be defined for any non-negative value of x.
No, the relevant domain of the function is not x <= 50. In this case, the function represents the number of students working at the concession stands based on the number of tickets sold.
To find the relevant domain, we need to consider any restrictions or limitations on the variable x. In this case, the number of students working at the concession stands is determined by the number of tickets sold, so x represents the number of tickets sold.
Since the number of tickets sold cannot be negative (you can't sell -10 tickets, for example), the relevant domain would be all non-negative values of x. In other words, x can be any value greater than or equal to 0.
Therefore, the relevant domain of the function is x ≥ 0.