he Middleboro High School jazz choir is holding a special concert to raise money for their trip to the state's Jazz-A-Pella competition. All the money from ticket sales will go toward their $600 goal, so they want to know how much to charge per ticket. Based on data from previous concerts, they can use the expression –5p+130 to estimate the number of tickets they will sell based on the ticket price, p.What two ticket prices can the choir charge to raise exactly $600 in revenue?$ or $Submit
Question
he Middleboro High School jazz choir is holding a special concert to raise money for their trip to the state's Jazz-A-Pella competition. All the money from ticket sales will go toward their 600 in revenue?Submit
Solution
To find the ticket prices that will raise exactly 600. This can be written as:
-5p^2 + 130p = 600
This is a quadratic equation, and we can solve it by using the quadratic formula:
p = [-b ± sqrt(b^2 - 4ac)] / (2a)
In this equation, a = -5, b = 130, and c = -600. Plugging these values into the formula gives:
p = [-130 ± sqrt((130)^2 - 4*(-5)(-600))] / (2(-5))
Solving this equation gives two possible values for p, which are the two ticket prices that will raise exactly $600.
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