Answer:
y = -3000x + 15000
Explanation:
To find the equation that represents the table, we will use two ordered pairs like (1, 12000) and (2, 9000)
The first coordinate represents the number of hours after 4 p.m. and the second coordinate represents the number of tickets remaining.
Then, to find the equation of a line that passes through the points (x1, y1) and (x2, y2) we can use:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is equal to:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, replacing (x1, y1) by (1, 12000) and (x2, y2) by (2, 9000), we get that m is equal to:
[tex]m=\frac{9000-12000}{2-1}=\frac{-3000}{1}=-3000[/tex]
Then, the equation is:
[tex]\begin{gathered} y-12000=-3000(x-1) \\ y-12000=-3000x-3000(-1) \\ y-12000=-3000x+3000 \\ y-12000+12000=-3000x+3000+12000 \\ y=-3000x+15000 \end{gathered}[/tex]
Therefore, the answer is:
y = -3000x + 15000
