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Robert wants to throw a party for his friends. He has booked a banquet hall where he plans to serve dinner. The hall costs $200, and dinner costs $30 per person. If the final bill is p, which function gives the number of friends at the party. [Hint: First find the function for the final bill as a function of the number of friends, x.]

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Answer:

(p-200)/30 that is the answer good luck

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The function that gives the number of friends at the party can be shown as x = x(p) = (p - 200)/30, where p is the final bill.

What is a function?

A function is a relation between two or more variables where one variable's value is solved using the values of the other variables.

How to solve the given question?

In the question, we are given a person Robert, who wants to throw a party for his friends. He has booked a banquet hall where he plans to serve dinner. The hall costs $200, and the dinner costs $30 per person.

The final bill he receives is p.

Let the number of friends who attends the party be x.


Therefore, Robert's total bill p can be shown as a function in x, like this

p = 200 + 30x, $200 being the fixed cost, and $30 is the cost of dinner per person.

Now, to find the function of the total number of friends, we isolate x to one side of the equation following these steps:

  • The function, p = 200 + 30x,
  • Subtracting 200 from both sides: p - 200 = 30x
  • Dividing both sides by 30: (p - 200)/30 = x

Therefore, the function that gives the number of friends at the party can be shown as x = x(p) = (p - 200)/30, where p is the final bill..

Learn more about functions at

https://brainly.com/question/4025726

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