SOLUTION: . Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 60 cups. But when you raise your price to $1.50 you only sell 30 cups. Write an equation

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: . Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 60 cups. But when you raise your price to $1.50 you only sell 30 cups. Write an equation       Log On


   

Question 321698: . Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 60 cups. But when you raise your price to $1.50 you only sell 30 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
you charge $1 per cup of lemonade you sell 60 cups.
But when you raise your price to $1.50 you only sell 30 cups
Write an equation for the number of cups you sell as a function of the price you charge.
Denote "C" for number of cups, and "P" for the price you charge
:
the slope of the equation: m = %28y2-y1%29%2F%28x2-x1%29
Assign the given values as follows:
x1=1.00, y1=60
x2=1.50, y2=30
Find the slope
m = %2830-60%29%2F%281.5-1%29 = %28-30%29%2F.5 = -60 is the slope
:
Use the point/slope formula: y - y1 - m(x - x1)
y - 60 = -60(x - 1)
y - 60 = -60x + 60
y = -60x + 60 + 60
y = -60x + 120
:
c = -60p + 120, is the equation