Write a linear equation for the attendance in terms of the price, p. (A=mp+b)

Question

A local theme park found that if the price of admission was $17, the attendance was about 1100 customers per day. When the price of admission was dropped to $10, attendance increased to about 2250 per day. Write a linear equation for the attendance in terms of the price, p. (A=mp+b)

Answer 1

The general equation of a line based on two points is given by formula: y - y₁ = [(y₂ - y₁) ⁄ (x₂ - x₁)]*(x - x₁).

Using information above, we have: x₁ = 17, y₁=1100, and x₂ = 10, y₂=2250.

If we replace this info into the general equation, we obtain: y = -164.29 x + 3892.86 (A = -164.29 P + 3892.86).