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Quadratic Equation Word Problem To Expression (Standard Form) - 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 Expression (Standard Form) - Revenue with Price Change Worksheet

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Quadratic Equation Word Problem To Expression (Standard Form) - Reven...
1
A lemonade stand sells 110 drinks for $2 each. For every $0.04 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -13.09p to the power of 2 + 163.00p
b A LaTex expression showing R(p) = -8.09p to the power of 2 + 160.00p - 4.00
c A LaTex expression showing R(p) = -9.09p to the power of 2 + 160.00p
2
A movie theater sells 110 tickets for $5 each. For every $0.06 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -9.09p to the power of 2 + 192.33p - 1.00
b A LaTex expression showing R(p) = -11.09p to the power of 2 + 193.33p - 5.00
c A LaTex expression showing R(p) = -9.09p to the power of 2 + 193.33p
3
A lemonade stand sells 90 drinks for $6 each. For every $0.08 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -11.11p to the power of 2 + 164.00p - 3.00
b A LaTex expression showing R(p) = -16.11p to the power of 2 + 165.00p + 3.00
c A LaTex expression showing R(p) = -11.11p to the power of 2 + 165.00p
4
A lemonade stand sells 60 drinks for $7 each. For every $0.02 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -16.67p to the power of 2 + 408.00p - 2.00
b A LaTex expression showing R(p) = -16.67p to the power of 2 + 410.00p
c A LaTex expression showing R(p) = -14.67p to the power of 2 + 408.00p
5
A movie theater sells 70 tickets for $11 each. For every $0.07 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -14.29p to the power of 2 + 227.14p
b A LaTex expression showing R(p) = -10.29p to the power of 2 + 232.14p
c A LaTex expression showing R(p) = -13.29p to the power of 2 + 226.14p
6
A movie theater sells 70 tickets for $9 each. For every $0.06 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -14.29p to the power of 2 + 220.00p
b A LaTex expression showing R(p) = -14.29p to the power of 2 + 219.00p - 3.00
c A LaTex expression showing R(p) = -10.29p to the power of 2 + 224.00p
7
A lemonade stand sells 80 drinks for $10 each. For every $0.04 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -12.50p to the power of 2 + 329.00p - 4.00
b A LaTex expression showing R(p) = -12.50p to the power of 2 + 329.00p + 3.00
c A LaTex expression showing R(p) = -12.50p to the power of 2 + 330.00p
8
A movie theater sells 30 tickets for $7 each. For every $0.06 increase in price 1 fewer will be sold.
What quadratic equation, in standard form, comes from calculating the revenue based on price?
a A LaTex expression showing R(p) = -33.33p to the power of 2 + 146.67p
b A LaTex expression showing R(p) = -28.33p to the power of 2 + 143.67p
c A LaTex expression showing R(p) = -33.33p to the power of 2 + 144.67p + 4.00