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The table represents the cost to eat at a buffet-style restaurant.Number ofPeople (p)2Cost (C)(including tax)27.5441.3155.0868.85345682.62Which equation could be used to calculate the cost. C, for any number of people, p, to eat at the restaurant?

The table represents the cost to eat at a buffet-style restaurant.Number ofPeople-example-1
User RickyTomatoes
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1 Answer

12 votes
12 votes

We need to take the values of the table and check which of the options fit with the results.

In the first line of the table we have p=2 and C=27.54.

Using the equation in option A, for p=2 we would get:


\begin{gathered} C=p+27.54 \\ C=2+27.54 \\ C=29.54 \end{gathered}

Which is not value for C in the table. Thus we discard option A.

Using the equation for option B, for the value of p=2, we would get:


\begin{gathered} C=13.77p \\ C=13.77(2) \\ C=27.54 \end{gathered}

Which is indeed the value of the table.

To confirm, we try now with the next value of p, p=3, and check if we get the same result with equation B as with the table:


\begin{gathered} C=13.77p \\ C=13.77(3) \\ C=41.31 \end{gathered}

Which is also the value for C in the table.

Thus we confirm that option B is the correct equation

User Jesse Anderson
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