Question

The revenue each season from tickets at the theme part is represented by t(x) = 5x. The cost to pay the employees each season is represented by r(x) = (1.5)x. Examine the graph of the combined function for total profit and estimate the profit after four seasons.

The graph starts on the x axis near one fourth and increases through the point 4 comma 15 to a maximum near 6 comma 18.5. The graph then decreases until it touches the x axis near 9.5.

1
5
10
15

Answer 1

14.9 = 15

Explanation:

Revenue

t(x)=5x

-

Cost

r(x)=(1.5)x

-

Profit

P = Revenue - costs = t(x) -r(x)

-

P = 5x - (1.5)x

-

The profit after 4 seasons

= 14.9units

= 15 units