The revenue each season from tickets at the theme part is represented by t(x) = 3x. The cost to pay the employees each season is represented by r(x) = (1.25)x. Examine the graph of the combined function for total profit and estimate the profit after five seasons.

Answer:The total profit after 5 seasons is 12 ⇒ 3rd answerStep-by-step explanation:* Lets explain how to solve the problem- Revenue is the total amount of income by the sale of something- Cost is total production expenses of something- Profit is the difference between the total income minus the total cost- Ex: If R(x) is the revenue function and C(x) is the function of the cost  then the profit function is P(x) = R(x) - C(x) * Lets solve the problem- The revenue each season from tickets at the theme part is   represented by t(x) = 3x∴ The revenue function is t(x) = 3x- The cost to pay the employees each season is represented by   [tex]r(x)=(1.25)^{x}[/tex]∴ The cost function is [tex]r(x)=(1.25)^{x}[/tex]∵ The profit function is the difference between the revenue function   and the cost function∵ The profit function is p(x)∴ p(x) = t(x) - r(x)∴ [tex]p(x)=3x-1.25^{x}[/tex]- The graph attached is represented the function of the profit p(x)- The x-axis represent the number of seasons- The y-axis represent the profit amount- From the graph the total profit after 5 seasons is 12- By calculation:∵ x = 5∴ [tex]p(5)=3(5)-(1.25)^{5}=11.948[/tex]∴ The profit ≅ 12∴ The total profit after 5 seasons is 12