Answer:
The linear equation for attendance is y = 11550 – 725x.
Explanation:
Given:
Price of admission=$14
Attendance for a week=1400 customers
Amount dropped is admissions price=$12
Attendance increased after price reduction= 2850 per week
Solution:
We have to write a linear equation for the attendance
Now, consider two points (14, 1400) and (12, 2850)
such that x – axis represents price of admission and y – axis represents attendance.
So, we have to find line equation of the above two points.
We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by
[tex]\frac{(y-y_1)}{(y_2-y_1)}=\frac{(x_2-x_1)}{(x- x_)}[/tex]
[tex](y-y_1) = (y_2-y_1)\frac{(x_2-x_1)}{(x- x_1)}[/tex]…………………………….(1)
Substituting the values in (1)
[tex]y -1400 = \frac{(2850-1400)}{(12-14)}(x -14)[/tex]
[tex]y- 1400 = \frac{1450}{-2}(x-14)[/tex]
y – 1400 = -725(x – 14)
y = 1400 – 725x + 725 x 14
y = 1400 – 725x + 10150
y = 11550 – 725x
