Part 1: At the State Fair it costs $2.75 for a piece of pizza and $3.50 for a funnel cake. Show how to set this up as an algebraic expression using "p" to represent the number of pizza slices and "f" to represent the number of funnel cakes.

Answer 1

To set up an algebraic expression for the total cost of pizza and funnel cakes at the State Fair, we can use the following steps:

1. Let \( p \) represent the number of pizza slices.
2. Let \( f \) represent the number of funnel cakes.
3. The cost of one piece of pizza is $2.75, so the total cost for \( p \) pizza slices would be \( 2.75p \).
4. The cost of one funnel cake is $3.50, so the total cost for \( f \) funnel cakes would be \( 3.50f \).

Now, we can combine these two expressions to form the total cost \( C \):

\[ C = 2.75p + 3.50f \]

This expression represents the total cost of \( p \) slices of pizza and \( f \) funnel cakes at the State Fair.