Question

An outdoor concert venue has an average of 22,650 attendees when the price per ticket is $32.50. For every ticket price increase of $5 the number of attendees decreases by an average of 275. Which equation represents the amount of money made by ticket sales, y, for a concert where x is the number of $5 increases over $32.50?

Answer 1

Answer:

A.   y=-1,375x^2+104,312.5x+736,125

Step-by-step explanation:

Answer 2

Answer:

The equation for amount of money made by ticket sales is

$y=-\frac{1}{55}x+444.31818$

Step-by-step explanation:

We are given

An outdoor concert venue has an average of 22,650 attendees when the price per ticket is $32.50

so, at x=22650 , y=32.50

For every ticket price increase of $5 the number of attendees decreases by an average of 275

so, we get slope as

$m=\frac{5}{-275}$

$m=-\frac{1}{55}$

now, we can use slope intercept form of line

$y=mx+b$

we can plug it

$y=-\frac{1}{55}x+b$

we can plug

x=22650 , y=32.50

and then we can find b

$32.50=-\frac{1}{55}\times 22650+b$

$b=444.31818$

now, we can plug it back

and we get

So, the equation for amount of money made by ticket sales is

$y=-\frac{1}{55}x+444.31818$