SOLUTION: An ice cream vendor sells an average of 100 cones per day when the price of each cone is $10.00. The vendor believes that for each 50 � cents drop in the price, she will sell 20 mo

Question 883703: An ice cream vendor sells an average of 100 cones per day when the price of each cone is $10.00. The vendor believes that for each 50 � cents drop in the price, she will sell 20 more cones. What should the price of the cones be if she wants a revenue of $1440?
Pls. Show me the solutions. May thanks
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
____y_________________x
Cones Sell__________Price
100_________________10.00
100+20_______________9.50
100+2*20____________10.00-2*0.50
100+3*20____________10.00-3*0.50

The slope is .
A point known, as well as others, is (10,100).
y = How many cones sold.
in point-slope form.

.

REVENUE: This is .
Quantity Sold = y
Price = x
Revenue is , but we are then really focusing on the function and want to equate this revenue expression (function) to $1440.

.
Simplify.

Quadratic Formula Solution:
, the discriminant

-
Either of the two prices, $4.50 or $8.00 per cone would be expected to give the revenue 1440 dollars.
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