Question

1. each medium cheese pizza costs $7.00.

a. complete the table and graph for this pizza relationship.

1. reinforce use your work in question 1 to answer the following questions.

a. using the algebraic rule you wrote, calculate how much it would cost to buy 10 pizzas.
b. if you have exactly $84 to spend, how many pizzas can you order?
c. what if you buy 0 pizzas? how much would that cost? does your answer make sense?

Explanation:

Step1: Find the algebraic rule

Since each pizza costs $7.00, the relationship between the number of pizzas \(x\) and the total cost \(y\) is \(y = 7x\).

Step2: Calculate the cost for 10 pizzas

Substitute \(x = 10\) into the equation \(y=7x\).
\(y = 7\times10=70\)

Step3: Find the number of pizzas for $84

Substitute \(y = 84\) into the equation \(y = 7x\), then solve for \(x\).
\(84=7x\), so \(x=\frac{84}{7}=12\)

Step4: Calculate the cost for 0 pizzas

Substitute \(x = 0\) into the equation \(y = 7x\).
\(y=7\times0 = 0\). It makes sense because if you buy 0 pizzas, you pay $0.

Answer:

a. It would cost $70 to buy 10 pizzas.
b. You can order 12 pizzas with $84.
c. If you buy 0 pizzas, it costs $0, and this answer makes sense.