Answered

Expand your knowledge base with the help of IDNLearn.com's extensive answer archive. Our platform is designed to provide reliable and thorough answers to all your questions, no matter the topic.

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.

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.