Respuesta :
[tex]A\text{ = -112.5p + 3387.5}[/tex]Explanation:
when price of admission = $19
attendance = 1250 customers per day
The point (price, attendance) = (19, 1250)
when prcie of admission = $11
attendance = 2150 customers per day
The point (price, attendance) = (11, 2150)
Linear equation: A = mp + b
where m = slope
we use the two points (19, 1250) and (11, 2150) to get the slope:
[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ x_1=19,y_1=1250,x_2=11,y_2\text{ = 2}150 \\ m\text{ = }\frac{2150\text{ - 1250}}{11\text{ - 19}} \\ m\text{ = }\frac{900}{-8} \\ m\text{ = slope = -112.50} \end{gathered}[/tex][tex]A\text{ = -112.5p + b}[/tex]To get b, we will use any of the point and the slope:
[tex]\begin{gathered} \text{using the point (11, 2150) = (p, A)} \\ A\text{ = -112.5p + b} \\ 2150\text{ = -112.5(11) + b} \\ 2150\text{ = -1237.5 + b} \\ 2150\text{ + 1237.5 = b} \\ b\text{ = 3387.5} \end{gathered}[/tex][tex]A\text{ = -112.5p + 3387.5}[/tex]