A theater group charges $12.50 per ticket for its opening play of the season. Production costs for the play are $150. Formulate a function that could be used to determine the profit the theater group earns from selling x tickets.

Question

Responses
A f(x) = 12.50xf(x) = 12.50x
B f(x) = 12.50x + 150f(x) = 12.50x + 150
C f(x) = 150x −12,50f(x) = 150x −12,50
D f(x) = 12.50x − 150

Answer 1

B f(x) = 12.50x + 150f(x) = 12.50x + 150

This function takes into account both the revenue generated from selling x tickets at $12.50 each and the production costs of $150. The profit is calculated by subtracting the production costs from the total revenue.