Total estimation of the expenses = $500.
Maximum number of tickets = 200 tickets.
Each ticket cost = $40.
Minimum number of tickets could be sold = 30 tickets.
x is the number of tickets sold.
f(x) is the total expenses of all tickets.
So, we can setup function as
f(x) = 40x.
We need to find the domain in first part.
Minimum number of tickets are 30.
Let us find maximum number of tickets for total expenses = $500.
40x = 500.
Dividing both sides by 40, we get
x= 12.5 approximately 13 tickets.
But we also given minimum number of tickets 30 and total number of tickets = 200.
So, domain would be integers from from 30 to 200. that is [30,200].
And let us find total amount for minimum 30 tickets would be = 30*40 = $1200.
And total amount for maximum tickets would be = 200 * 40 = $8000.
So, the range would be integers from $1200 to $8000 that is [1200,8000].
