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Quadratic Equation Word Problem To Optimization (y) - 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 Optimization (y) - Revenue with Price Change Worksheet

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Quadratic Equation Word Problem To Optimization (y) - Revenue with Pr...
1
A lemonade stand sells 20 drinks for $9 each. For every $0.11 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $0.50
b A LaTex expression showing R = $0.52
2
A lemonade stand sells 90 drinks for $5 each. For every $0.10 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $4.37
b A LaTex expression showing R = $4.45
c A LaTex expression showing R = $4.41
3
A movie theater sells 110 tickets for $7 each. For every $0.03 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $32.44
b A LaTex expression showing R = $32.42
c A LaTex expression showing R = $32.38
4
A movie theater sells 60 tickets for $8 each. For every $0.10 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $2.99
b A LaTex expression showing R = $2.94
c A LaTex expression showing R = $2.96
5
A movie theater sells 80 tickets for $11 each. For every $0.08 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $9.42
b A LaTex expression showing R = $9.46
6
A lemonade stand sells 40 drinks for $6 each. For every $0.05 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $2.53
b A LaTex expression showing R = $2.56
c A LaTex expression showing R = $2.55
7
A lemonade stand sells 40 drinks for $11 each. For every $0.05 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $6.78
b A LaTex expression showing R = $6.76
c A LaTex expression showing R = $6.75
8
A movie theater sells 110 tickets for $5 each. For every $0.02 increase in price 1 fewer will be sold.
What is the maximum possible revenue?
a A LaTex expression showing R = $35.62
b A LaTex expression showing R = $35.64
c A LaTex expression showing R = $35.63