Problema Solution

Past events have shown that if tickets are sold for $20 each, then 650 people will attend the event. For each raise of $2 in the ticket price, it is estimated that 20 less people will attend.

Let x = ticketr price

let N(x)= number of patrons

Complete data table with 5 more data pairs (x,n), starting with x 20,N(x)650.

Then graph

showing all work

Answer provided by our tutors

We assume N(x) = ax+b

Because for each raise of $2 in the ticket price, it is estimated that 20 less people will attend, so the slope a = -20/2 = -10

So N(x) = -10x + b

When x = 20, N(20) = -10*20 + b = 650, b = 850

So

N(x) = -10x + 850

The data is

x      N(x)

20      650

22      630

24      610

26      590

28      570

Graph: We draw a line passing any two pairs of the above such as (20, 650) and (22, 630).