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Quadratic Equation Word Problem To Demand Function - Revenue with Price Change

Level 1

The topics in this unit focus on constructing and solving quadratic equations from word problems. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

WorksheetView

Quadratic Equation Word Problem To Demand Function - Revenue with Price Change Worksheet

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Quadratic Equation Word Problem To Demand Function - Revenue with Pri...
1
A lemonade stand sells 50 drinks for $7 each. For every $0.07 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -20.00p + 64.29
b A LaTex expression showing V(p) = -14.29p + 121.43
2
A lemonade stand sells 80 drinks for $7 each. For every $0.09 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -12.50p + 87.78
b A LaTex expression showing V(p) = -12.50p + 91.11
3
A movie theater sells 30 tickets for $7 each. For every $0.05 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -300.00p + 50.00
b A LaTex expression showing V(p) = -33.33p + 50.00
c A LaTex expression showing V(p) = -14.29p + 90.00
4
A lemonade stand sells 40 drinks for $6 each. For every $0.03 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -16.67p + 173.33
b A LaTex expression showing V(p) = -400.00p + 73.33
c A LaTex expression showing V(p) = -25.00p + 73.33
5
A movie theater sells 80 tickets for $5 each. For every $0.07 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -12.50p + 81.43
b A LaTex expression showing V(p) = -12.50p + 94.29
6
A lemonade stand sells 80 drinks for $7 each. For every $0.06 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -12.50p + 126.67
b A LaTex expression showing V(p) = -12.50p + 96.67
c A LaTex expression showing V(p) = -800.00p + 96.67
7
A lemonade stand sells 110 drinks for $7 each. For every $0.08 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -9.09p + 122.50
b A LaTex expression showing V(p) = -14.29p + 247.50
c A LaTex expression showing V(p) = -1100.00p + 122.50
8
A movie theater sells 40 tickets for $5 each. For every $0.07 increase in price 1 fewer will be sold.
What is the volume of sales as a function of price?
a A LaTex expression showing V(p) = -25.00p + 54.29
b A LaTex expression showing V(p) = -400.00p + 54.29
c A LaTex expression showing V(p) = -20.00p + 97.14