Read the equations in the table below. Then drag a description of the situation and a table to represent each equation. Indicate whether each of the relationships is proportional or non-proportional.

Question

proportional

Justin gets 3
cookies for every $1

he spends at the bakery.

non-proportional

2-column table. First column, x, with entries, 0, 1, 2, 3, 4. Second column, y, with entries, 3, 4, 5, 6, 7.

2-column table. First column, x, with entries, 0, 1, 2, 3, 4. Second column, y, with entries, 0, 3, 6, 9, 12.

Justin buys 3

more cookies than donuts at the bakery.

Situation


Table


Equation


Type of Relationship



y=3x





y=x+3

Answer 1

Situation: Justin's cookie purchases in relation to his spending at the bakery.

Table:

| x (dollars spent) | y (number of cookies) |
|------------------|----------------------|
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |

Equation: y = 3x

Type of Relationship: Proportional

Situation: Justin's cookie purchases in relation to his donut purchases at the bakery.

Table:

| x (number of donuts) | y (number of cookies) |
|----------------------|----------------------|
| 0 | 0 |
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |

Equation: y = 3x

Type of Relationship: Proportional

Situation: Justin's cookie purchases compared to his donut purchases at the bakery.

Table:

| x (number of donuts) | y (number of cookies) |
|----------------------|----------------------|
| 0 | 3 |
| 1 | 4 |
| 2 | 5 |
| 3 | 6 |
| 4 | 7 |

Equation: y = x + 3

Type of Relationship: Non-Proportional