SOLUTION: A local water park found that if the price of admission was $15, the attendance was about 1750 customers per week. When the price of admission was dropped to $10, attendance incre

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A local water park found that if the price of admission was $15, the attendance was about 1750 customers per week. When the price of admission was dropped to $10, attendance incre      Log On


   

Question 990200: A local water park found that if the price of admission was $15, the attendance was about 1750 customers per week. When the price of admission was dropped to $10, attendance increased to about 2650 per week. Write a linear equation for the attendance in terms of the price, p. ( A = mp + b ).
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Identify linear points, (p,A).

(15,1750) and (10,2650).

FINDING THE LINE FOR THOSE TWO POINTS
A=mp+b
b=A-mp
First find m=%282650-1750%29%2F%28-5%29=900%2F%28-5%29=-9%2A100%2F5%29=-9%2A20=-160
Now find b=1750-%28-160%29%2A15=1750%2B160%2A15=9750

highlight%28A=-160p%2B9750%29