Question

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 1

Answer:

The total profit after 5 seasons is 12 ⇒ 3rd answer

Step-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

  $r(x)=(1.25)^{x}$

∴ The cost function is $r(x)=(1.25)^{x}$

∵ 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)

∴ $p(x)=3x-1.25^{x}$

- 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

∴ $p(5)=3(5)-(1.25)^{5}=11.948$

∴ The profit ≅ 12

∴ The total profit after 5 seasons is 12

Answer 2

The total profit after five seasons is 12 and this can be determined by using the profit function.

Given :

• 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) = $1.25^x$.

The profit is given by the formula:

P(x) = R(x) - C(x)

where R(x) is the revenue function, C(x) is the cost function and P(x) is the profit function.

It is given that the revenue each season from tickets at the theme part is represented by t(x) = 3x and the cost to pay the employees each season is represented by r(x) = $1.25^x$.

So, the profit function now becomes:

P(x) = 3x - $1.25^x$

The given graph shows the profit function and the profit after five seasons is:

$\rm P(5)=3\times 5-(1.25)^5$

$\rm P(5) = 15- 3.05$

P(5) = 12

So, the total profit after five seasons is 12.

For more information, refer to the link given below:

https://brainly.com/question/1957976