Select all tables that represent a proportional relationship between the number of pizzas ordered and the total cost.

Question

Responses

Number of Pizzas Ordered Total Cost
1 $10.00
2 $20.00
3 $28.00
4 $36.00
Number of Pizzas Ordered Total Cost 1 $10.00 2 $20.00 3 $28.00 4 $36.00

Number of Pizzas Ordered Total Cost
1 $8.00
2 $16.00
3 $24.00
4 $32.00
Number of Pizzas Ordered Total Cost 1 $8.00 2 $16.00 3 $24.00 4 $32.00

Number of Pizzas Ordered Total Cost
2 $12.00
4 $24.00
6 $36.00
8 $48.00
Number of Pizzas Ordered Total Cost 2 $12.00 4 $24.00 6 $36.00 8 $48.00

Number of Pizzas Ordered Total Cost
3 $9.00
5 $25.00
7 $49.00
9 $81.00
Number of Pizzas Ordered Total Cost 3 $9.00 5 $25.00 7 $49.00 9 $81.00

Number of Pizzas Ordered Total Cost
1 $6.00
2 $18.00
3 $27.00
4 $36.00
Number of Pizzas Ordered Total Cost 1 $6.00 2 $18.00 3 $27.00 4 $36.00

Answer 1

A proportional relationship between the number of pizzas ordered and the total cost means that the total cost is a constant multiple of the number of pizzas ordered. In other words, the total cost can be expressed as \(Total Cost = k \times (Number of Pizzas Ordered)\), where \(k\) is a constant.

Let's analyze each table:

1. First Table:

   • 1 pizza: $10.00
   • 2 pizzas: $20.00
   • 3 pizzas: $28.00
   • 4 pizzas: $36.00
   • Not proportional (inconsistent increments).

2. Second Table:

   • 1 pizza: $8.00
   • 2 pizzas: $16.00
   • 3 pizzas: $24.00
   • 4 pizzas: $32.00
   • Proportional (cost per pizza is constant at $8.00).

3. Third Table:

   • 2 pizzas: $12.00
   • 4 pizzas: $24.00
   • 6 pizzas: $36.00
   • 8 pizzas: $48.00
   • Proportional (cost per pizza is constant at $6.00).

4. Fourth Table:

   • 3 pizzas: $9.00
   • 5 pizzas: $25.00
   • 7 pizzas: $49.00
   • 9 pizzas: $81.00
   • Not proportional (cost per pizza varies).

5. Fifth Table:

   • 1 pizza: $6.00
   • 2 pizzas: $18.00
   • 3 pizzas: $27.00
   • 4 pizzas: $36.00
   • Not proportional (cost per pizza varies).

Proportional Tables:

• Second Table
• Third Table