Question 959796: A local aquarium found that if the price of admission was $16, the attendance was about 800 customers per week. When the price of admission was dropped to $7, attendance increased to about 950 per week. Write a linear equation for the attendance in terms of the price, p. ( A = mp + b ).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A local aquarium found that if the price of admission was $16, the attendance was about 800 customers per week. When the price of admission was dropped to $7, attendance increased to about 950 per week. Write a linear equation for the attendance in terms of the price, p. ( A = mp + b ).
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What you have here is a linear relationship, given 2 points (16,800) and ((7,950)on the curve.
let x=price
y=mx+b, m=slope, b=y-intercept
slope=∆y/∆x=(800-950)/(16-7)=-150/9
equation: y=-150x/9+b
solve for b using coordinates of a point (16,800) on the line
800=-150*16/9+b
b=1067
equation: y=-150x/9+1067
see graph below:
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