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.
proportional
Draggable item
Every dollar is equal to 10
dimes.
Draggable item
non-proportional
Simon always does 10
more math problems than his sister.
Situation
Table
Equation
Type of Relationship
Situation: Every time Samantha buys 2 pounds of bananas, she pays $1.50.
Table:
| Pounds of Bananas | Cost ($) |
|------------------|----------|
| 2 | 1.50 |
| 4 | 3.00 |
| 6 | 4.50 |
| 8 | 6.00 |
Equation: Cost = 0.75(Pounds of Bananas)
Type of Relationship: Proportional
Situation: For every hour that Shelly babysits, she earns $8. However, she also receives a $16 bonus for every job she completes.
Table:
| Hours Babysitting | Amount Earned ($) |
|-------------------|------------------|
| 1 | 24 |
| 2 | 40 |
| 3 | 56 |
| 4 | 72 |
Equation: Amount Earned = 8(Hours Babysitting) + 16
Type of Relationship: Non-proportional
Situation: For each car wash, the school club charges a flat fee of $5 plus an additional $2 for every car washed.
Table:
| Number of Cars | Total Cost ($) |
|----------------|-----------------|
| 1 | 7 |
| 2 | 9 |
| 3 | 11 |
| 4 | 13 |
Equation: Total Cost = 2(Number of Cars) + 5
Type of Relationship: Proportional
Situation: Every dollar is equal to 10 dimes.
Table:
Dollar (x) | Dime (y)
-----------|----------
1 | 10
2 | 20
3 | 30
Equation: y = 10x
Type of Relationship: Proportional
Situation: Simon always does 10 more math problems than his sister.
Table:
Sister's Math Problems (x) | Simon's Math Problems (y)
-------------------------|---------------------------
5 | 15
8 | 18
12 | 22
Equation: y = x + 10
Type of Relationship: Non-proportional