Question

A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $11 the average attendence has been 29000. When the price dropped to $9, the average attendence rose to 34000. Assume that attendence is linearly related to ticket price.

Answer 1

Answer:

$y=-2500x+56500$

Step-by-step explanation:

We need to write expression of the attendance in terms of the price of the tickets.  We can determine the percentage increase of the attendance by decreasing the tickets price. We can have two points:

(11,29000) and (9,34000)

We have calculate the slope:

$m=(34000-29000)/(9-11)=-2500$

Substitute point into:

$y=mx+c$

$29000=-2500(11)+c$

$c=56500$

The equation is:

$y=-2500x+56500$

where x is the ticket price and y is the attendance.