Question

An organization you’re involved in is planning a year-ending pizza party to celebrate another successful year. As chair of the planning committee, you’ve wisely worked a deal with a local pizza place to provide large pizzas at $8 each. The budget will allow at most $150 to cover the food. There is a $10 delivery charge. We want to know how many pizzas we can get for $150 at $8 each, plus a flat fee of $10 for delivery.
1. Use the information from the table to draw a graph with the number of pizzas on the x axis and the total cost on the y axis. Use your graph to estimate the solution to the problem.
2. Write and solve an equation that represents the number of pizzas you can buy with the delivery charge added. Write the solution to the problem in a full sentence.
3. If you needed to purchase 21 pizzas, how much would it cost?
4. What is the slope and what does it represent?
5. What is the y intercept and what does it represent?
6. Describe the connection between the graph of a line and how we use the line’s equation to solve problems like the pizza party problem. How would you find the solution on a graph?
Pizzas Bought	Total Cost ($)
0	10
5	50
10	90
15	130
20	170
25	210
30	250

Answer 1

Solution -

1)

We have to find integer solution here .

We can see from graph we can get only 17 pizzas .

2)

Price of buying x pizzas

So we will write inequality

  

So we can purchase maximum 17 pizzas.

3) For x = 21

21 pizzas cost $178 .

4) Here slope indicates price of one pizza, it is 8 here.