Question

The ticket sales for concert started at 4:00 the table shown the linear realashionship bewtween the number of tickets remaining and the number of hours since 4:00

Answer 1

y = -3000x + 15000

Step-by-step 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:

`y-y_1=m(x-x_1)`

Where m is equal to:

`m=(y_2-y_1)/(x_2-x_1)`

So, replacing (x1, y1) by (1, 12000) and (x2, y2) by (2, 9000), we get that m is equal to:

`m=(9000-12000)/(2-1)=(-3000)/(1)=-3000`

Then, the equation is:

`\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}`

Therefore, the answer is:

y = -3000x + 15000