molly is comparing two different food companies to provide food for her banquet. The total cost, y, includes a one-time delivery fee and an additional fee based on the number of people, x, who attend the banquet. What is the cost per person for Company A

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Answer:

x

Step-by-step explanation:

the variable that represents the cost per person is x

The cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex] where C is cost per person and d is one time fixed delivery fee.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, let we take:

  • C = cost per person for company A
  • d = one-time delivery fee

We're given that:

  • y = total cost
  • x = number of people, who attend the banquet.

That means, as C is cost per person, so for x persons, it will be [tex]C \times x[/tex]

Thus, total cost = cost for x persons + delivery cost

or

[tex]y = C \times x + d\\\\[/tex]

Subtracting 'd' from both sides and then dividing both sides by 'x', we get

[tex]C = \dfrac{y-d}{x}[/tex]

Thus, the cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex]where C is cost per person and d is one time fixed delivery fee.

Learn more about forming equations here:

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