Question

1a. Bob's Pizza sells pizzas that are 10 inches or larger. A 10-inch cheesepizza costs $9. Each additional inch costs $1.50, and each extra toppingcosts $1.25. Write an equation that represents the cost of a pizza. Besureto specify what the variables represent1b. Choose one of the variables you used in the equation above. Describethe constraints for that variable and what type of numbers it can be.

Answer 1

`\begin{gathered} C=9p+1.5a+1.25t \\ (p\ge1),(\text{ a}\ge0),(\text{ t}\ge0) \end{gathered}`

A) Gathering the data

10" pizza---> $9(p)

Additional inch ---> $1.5 (a)

Pizza extra topping ---> $1.25 (t)

We can write the equation, considering that "C" is the cost of the pizza and that we're going to write out a formula, an equation for any number of pizzas, additional inches of pizza, and extra toppings.

`C=9p+1.5a+1.25t`

Note that in this equation, we can state that:

p - number of a 10" pizza

a - number of additional inches

t - number of extra toppings

B) Restraints. Let's start with the variable p. In order to calculate the price of a pizza, the number of 10" inch pizzas must be greater than or equal to 1.

`p\ge1`

Since the other variables, relate to the additional inch and extra toppings they can be greater than or equal to zero, since a customer may not want any additional inch or extra toppings.:

`a\ge0,\text{ }t\ge0`

3) Hence the answer is:

`\begin{gathered} C=9p+1.5a+1.25t \\ (p\ge1),(\text{ a}\ge0),(\text{ t}\ge0) \end{gathered}`