Part one: at the state fair it cost $2.75 for a corn dog and $3.50 for a funnel cake. How much would it cost for you to order C corn dogs and F funnel cakes show how to set this up an algebraic expression.

Question

Part 2: you and your three friends want to order two corn dogs, and one funnel cake, each solve to find out how much it would cost altogether.

Part 3: Explain how you solved part 2

Answer 1

Part one:
To set up an algebraic expression for the cost of ordering C corn dogs and F funnel cakes, we can use the following formula:

Cost = (2.75 * C) + (3.50 * F)

Here, C represents the number of corn dogs ordered, and F represents the number of funnel cakes ordered.

Part two:
To find out how much it would cost for you and your three friends to order two corn dogs and one funnel cake each, we can substitute C = 2 and F = 1 into the algebraic expression set up in part one:

Cost = (2.75 * 2) + (3.50 * 1)
Cost = 5.50 + 3.50
Cost = 9.00

Therefore, it would cost $9.00 altogether for you and your three friends to order two corn dogs and one funnel cake each at the state fair.

Part three:
To solve part two, we substituted the values C = 2 and F = 1 into the algebraic expression we set up in part one. This allows us to calculate the cost by multiplying the price of a corn dog ($2.75) by the number of corn dogs ordered (2), and the price of a funnel cake ($3.50) by the number of funnel cakes ordered (1). Finally, we added these two costs together to find the total cost, which is $9.00.