Quadratic Equation Word Problem To Expression - 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.

Quadratic Equation Word Problem To Expression - Revenue with Price Change Worksheet

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Quadratic Equation Word Problem To Expression - Revenue with Price Ch...
1
A lemonade stand sells 90 drinks for $7 each. For every $0.06 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-11.11p + 106.67)
b A LaTex expression showing R(p) = p times (-11.11p + 126.67)
2
A movie theater sells 50 tickets for $9 each. For every $0.05 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-20.00p + 190.00)
b A LaTex expression showing R(p) = p times (-11.11p + 150.00)
c A LaTex expression showing R(p) = p times (-20.00p + 70.00)
3
A movie theater sells 100 tickets for $3 each. For every $0.10 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-10.00p + 110.00)
b A LaTex expression showing R(p) = p times (-1000.00p + 110.00)
c A LaTex expression showing R(p) = p times (-10.00p + 40.00)
4
A movie theater sells 90 tickets for $11 each. For every $0.09 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-9.09p + 190.00)
b A LaTex expression showing R(p) = p times (-11.11p + 101.11)
c A LaTex expression showing R(p) = p times (-900.00p + 101.11)
5
A movie theater sells 20 tickets for $8 each. For every $0.11 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-12.50p + 38.18)
b A LaTex expression showing R(p) = p times (-50.00p + 29.09)
c A LaTex expression showing R(p) = p times (-200.00p + 29.09)
6
A movie theater sells 80 tickets for $11 each. For every $0.06 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-800.00p + 96.67)
b A LaTex expression showing R(p) = p times (-12.50p + 96.67)
c A LaTex expression showing R(p) = p times (-12.50p + 193.33)
7
A lemonade stand sells 40 drinks for $6 each. For every $0.02 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-25.00p + 310.00)
b A LaTex expression showing R(p) = p times (-25.00p + 90.00)
c A LaTex expression showing R(p) = p times (-16.67p + 240.00)
8
A movie theater sells 40 tickets for $4 each. For every $0.11 increase in price 1 fewer will be sold.
What equation gives the revenue (volume x price) at a given price?
a A LaTex expression showing R(p) = p times (-25.00p + 49.09)
b A LaTex expression showing R(p) = p times (-25.00p + 76.36)