Question

a local theme park found that if the price of admission was $12 per person. the attendance was 2200. when the price of admission was lowered to $10, the attendance rose 3000 for the week. write the linear equation for admission in terms of price. use x for the independent variable and y for the dependent variable. write answer in slope intercept form with no spaces

Answer 1

A linear equation in slope-intercept form from two points is given by (y - y1)/(x - x1) = (y2 - y1)/(x2 - x1).

Here, y1 = 2200, x1 = 12, y2 = 3000 and x2 = 10, then

(y - 2200)/(x - 12) = (3000 - 2200)/(10 - 12)
(y - 2200)/(x - 12) = 800/-2 = -400
y - 2200 = -400(x - 12)
y = -400x + 4800 + 2200
y=-400x+7000