SOLUTION: A local cinema found that if the price of admission was $13, the attendance was about 750 customers per day. When the price of admission was dropped to $12, attendance increased t

Question 924680: A local cinema found that if the price of admission was $13, the attendance was about 750 customers per day. When the price of admission was dropped to $12, attendance increased to about 1900 per day. Write a linear equation for the attendance in terms of the price, p. ( A = mp + b )

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
The equation for the line that passes through (13, 750) and (12, 1900). The points are coordinate pairs, (p, A).
Answer by MathTherapy(10549) (Show Source): You can put this solution on YOUR website!

A local cinema found that if the price of admission was $13, the attendance was about 750 customers per day. When the price of admission was dropped to $12, attendance increased to about 1900 per day. Write a linear equation for the attendance in terms of the price, p. ( A = mp + b )

Let price be x, and attendance, y
Attendance: 750 customers, when PRICE = $13
Attendance: 1,900 customers, when PRICE = $12
We then get the points, (13, 750) & (12, 1,900)
Slope of linear equation, or m = , or , or - 1,150
Using coordinate point (13, 750), and slope (m) = - 1,150, the point-slope form:
becomes:
y � 750 = - 1,150(x � 13)
y � 750 = - 1,150x + 14,950
y = - 1,150x + 14,950 + 750
y = - 1,150x + 15,700, or
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