If price of admission was $14, the attendance was about 1400 customers per week. When the price of admission was dropped to $12, attendance increased to about 2850 per week. Write a linear equation for the attendance

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