Abaseball team plays in a stadium that holds 58,000 spectators. with the ticket price at $10, the average attendance at recent games has been 24,000. a market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000.

(a) find a function that models the revenue in terms of ticket price. (let x represent the price of a ticket and r represent the revenue.)
r(x) =

(b) find the price that maximizes revenue from ticket sales.

(c) what ticket price is so high that no revenue is generated?

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places