FIGURE 2- 3
-Suppose there is a linear relationship between the ticket price (P)to a university basketball game and the number of tickets sold (Q).If the ticket price is $20,then 600 tickets are sold; if the ticket price is $8,then $3000 tickets are sold.What is the slope of the function if Q is plotted on the horizontal axis and P is plotted on the vertical axis?
A)0.005
B)- 0.005
C)- 0.05
D)0.05
E)0

Question

Quizplus · Accepted Answer

When Q is plotted on the horizontal axis and P on the vertical axis, the slope of the function represents the change in Q for a unit change in P. Using the two given data points, we can find the slope as follows:

Slope = (change in Q) / (change in P) 
= [(3000-600) / (8-20)] 
= -2400 / -12 
= 200

Therefore, the slope of the function is 200. However, we want to find the slope when Q is on the horizontal axis and P is on the vertical axis. In this case, the slope is the reciprocal of 200:

Slope = 1 / 200 
= 0.005

So the answer is B, -0.005.

FIGURE 2- 3 -Suppose There Is a Linear Relationship Between the Ticket Price