Question

A local cinema found that if the price of admission was $17$⁢17, the attendance was about 20502050 customers per week. When the price of admission was dropped to $12$⁢12, attendance increased to about 21002100 per week. Write a linear equation for the attendance in terms of the price, p. ( A=mp+bA=mp+b )

Answer 1

A = -10*p + 2220

Explanation:

To write a linear equation let define

A = attendance

m = slope of the line

b = intercept of the line

p = Price of admision

let´s find m, using the two points (p,A)

point 1 = (17, 2050)

point 2 = (12, 2100)

m = (2100 – 2050)/(12-17) = -10

Replacing m in the equation

A=-10p+b

To find b, let´s use point 1

2050 = -10*17 + b

B = 2050 + 170

b = 2220

finally, the equation is

A = -10*p + 2220