Answered

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A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x) = −40x + 640, where x is the price, in dollars, of each ticket. The revenue R can be determined by multiplying the ticket price x by the number of tickets sold. Write a quadratic function R that correctly represents this model.

Sagot :

Answer: [tex]R=-40x^2+640x[/tex]

Step-by-step explanation:

Given

No of tickets sold is [tex]Q(x)=-40x+640[/tex]

Revenue is given by the number of tickets sold multiplied by the price of each ticket

[tex]\Rightarrow R=Q(x)\cdot x\\\Rightarrow R=[-40x+640]x\\\Rightarrow R=-40x^2+640x[/tex]

Thus, revenue is given by the above obtained quadratic equation.

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