art 1: At the State Fair it costs $2.75 for a corndog and $3.50 for a funnel cake. How much would it cost for you to order "c" corndogs and "f" funnel cakes? Show how to set this up as an algebraic expression.Part 2: You and your three friends want to order 2 corndogs and 1 funnel cake each. Solve to find out how much it would cost all-together.Part 3: Explain how you solved Part 2.

Question

art 1: At the State Fair it costs $2.75 for a corndog and $3.50 for a funnel cake. How much would it cost for you to order "c" corndogs and "f" funnel cakes? Show how to set this up as an algebraic expression.Part 2: You and your three friends want to order 2 corndogs and 1 funnel cake each. Solve to find out how much it would cost all-together.Part 3: Explain how you solved Part 2.

Answer 1

Part 1:

To find the cost of ordering "c" corndogs and "f" funnel cakes, we can set up the following algebraic expression:
Cost = (cost per corndog * number of corndogs) + (cost per funnel cake * number of funnel cakes)
In this case, the algebraic expression would be:
Cost = ($2.75 * c) + ($3.50 * f)

Part 2:
If you and your three friends want to order 2 corndogs and 1 funnel cake each, we can substitute the values into the equation from part 1.
c = 2 (because each person wants 2 corndogs)
f = 1 (because each person wants 1 funnel cake)
Cost = ($2.75 * 2) + ($3.50 * 1)
Cost = $5.50 + $3.50
Cost = $9.00

Part 3:
To solve part 2, I substituted the given values into the expression from part 1. I multiplied the cost per corndog ($2.75) by the number of corndogs (2) and added it to the cost per funnel cake ($3.50) multiplied by the number of funnel cakes (1). Finally, I calculated the total cost, which was $9.00.

Answer 2

Part 1:

To set up an algebraic expression for the cost of ordering "c" corndogs and "f" funnel cakes, we can multiply the number of corndogs by the cost of one corndog and the number of funnel cakes by the cost of one funnel cake.

The cost for "c" corndogs would be: 2.75c
The cost for "f" funnel cakes would be: 3.50f

So the total cost for "c" corndogs and "f" funnel cakes would be: 2.75c + 3.50f

Part 2:
If you and your three friends each want to order 2 corndogs and 1 funnel cake, we can substitute the values into the expression from Part 1.

For you and your friends, "c" would be 2 (for the 2 corndogs each) and "f" would be 1 (for the 1 funnel cake each).

Substituting these values into the expression:

Total cost = 2.75(2) + 3.50(1)
Total cost = 5.50 + 3.50
Total cost = 9.00

So it would cost $9.00 altogether for you and your three friends to order 2 corndogs and 1 funnel cake each.

Part 3:
To solve Part 2, I substituted the values of "c" and "f" into the expression for the cost of ordering "c" corndogs and "f" funnel cakes. Then, I simplified the expression by performing the multiplication and addition operations. This gave me the total cost of $9.00 for you and your three friends to order the specified items.

Answer 3

Part 1: To set up an algebraic expression to find the cost of ordering "c" corndogs and "f" funnel cakes, we can use the following equation:

Cost = (Cost per corndog * number of corndogs) + (Cost per funnel cake * number of funnel cakes)

In this case, the cost per corndog is $2.75 and the cost per funnel cake is $3.50. So the algebraic expression would be:

Cost = (2.75c) + (3.50f)

Part 2: To find out how much it would cost altogether for you and your three friends to order 2 corndogs and 1 funnel cake each, we can substitute the values into the expression.

Let's assume "c" represents the number of corndogs, and "f" represents the number of funnel cakes, for each person.

So, for you and your three friends, the values would be:

number of corndogs (c) = 2 (because each of you wants 2 corndogs)
number of funnel cakes (f) = 1 (because each of you wants 1 funnel cake)

Substituting these values into the expression:

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

Simplifying this expression:

Cost = 5.50 + 3.50

Cost = 9.00

So, it would cost $9.00 altogether for you and your three friends to order 2 corndogs and 1 funnel cake each at the State Fair.

Part 3: To solve Part 2, I followed these steps:
1. Set up the algebraic expression to find the cost: Cost = (2.75c) + (3.50f).
2. Substitute the values for each variable: c = 2 and f = 1 for each person.
3. Simplify the expression by performing the calculations: (2.75 * 2) + (3.50 * 1) = 5.50 + 3.50 = 9.00.
4. The answer shows that it would cost $9.00 altogether for you and your three friends to order 2 corndogs and 1 funnel cake each at the State Fair.