Part 1: At the State Fair it costs $2.75 for a piece of pizza and $3.50 for a funnel cake. Set up an algebraic expression to find the total cost when buying "p" pieces of pizza and "f" funnel cakes.

Answer 1

To set up an algebraic expression for the total cost when buying "p" pieces of pizza and "f" funnel cakes, you can use the following steps:

1. Determine the cost for "p" pieces of pizza. Since each piece of pizza costs $2.75, the cost for "p" pieces is: \[ 2.75p \]

2. Determine the cost for "f" funnel cakes. Since each funnel cake costs $3.50, the cost for "f" funnel cakes is: \[ 3.50f \]

3. To find the total cost (C), you add both costs together: \[ C = 2.75p + 3.50f \]

So, the algebraic expression for the total cost is: \[ C = 2.75p + 3.50f \]

Answer 2

Part 2: You and your three friends decide to order 2 pieces of pizza and 1 funnel cake each. Using the information from Part 1, solve to find out how much it would cost for your AND your friends to order 2 pieces of pizza and 1 funnel cake each. Show all of your steps!

Answer 3

To find the total cost for you and your three friends to order 2 pieces of pizza and 1 funnel cake each, follow these steps:

1. Determine the number of total people: You and your three friends make a total of 4 people.

2. Find the total order for each person:

   • Each person orders 2 pieces of pizza.
   • Each person also orders 1 funnel cake.

3. Calculate the total pieces of pizza and funnel cakes for all 4 people:

   • Total pieces of pizza = 2 pieces/person × 4 people = \( 2 \times 4 = 8 \) pieces of pizza.
   • Total funnel cakes = 1 funnel cake/person × 4 people = \( 1 \times 4 = 4 \) funnel cakes.

4. Use the algebraic expression from Part 1 to find the total cost:

   • Using the expression \( C = 2.75p + 3.50f \): \[ p = 8 \quad \text{(total pieces of pizza)} \] \[ f = 4 \quad \text{(total funnel cakes)} \]

5. Substitute the values into the expression: \[ C = 2.75(8) + 3.50(4) \]

6. Calculate the cost for the pizza: \[ 2.75 \times 8 = 22.00 \]

7. Calculate the cost for the funnel cakes: \[ 3.50 \times 4 = 14.00 \]

8. Add the two costs together to find the total cost: \[ C = 22.00 + 14.00 = 36.00 \]

Therefore, the total cost for you and your three friends to order 2 pieces of pizza and 1 funnel cake each is $36.00.