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)-0.05
C)0
D)0.05
E)0.005

Question

Quizplus · Accepted Answer

The slope (m) of a line can be calculated using the formula $m = \frac{\Delta y}{\Delta x}$, where $\Delta y$ and $\Delta x$ represent the changes in the y and x variables, respectively. In this context, $y$ corresponds to the ticket price (P) and $x$ corresponds to the number of tickets sold (Q). Using the given points (600, $20) and (3000, $8), we calculate the slope as follows: $m = \frac{8 - 20}{3000 - 600} = \frac{-12}{2400} = -0.005$.

Suppose There Is a Linear Relationship Between the Ticket Price