Question

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

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