Answer:
The number of Pencils purchased and the cost of pencils represents a proportional relationship.
Step-by-step explanation:
As we know that proportional relationships between two variables have equivalent ratios.
For example,
3/12 = 9/36 is a TRUE proportions because both fractions reduces to 1/4, and because 12 × 9 = 3 × 36.
As our problem suggests whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?
Given
It means ach pencil costs $0.25.
So
- If Sarah buys 1 pencil it would cost = $0.25
- If Sarah buys 2 pencils it would cost = $0.5
- If Sarah buys 3 pencils it would cost = $0.75
- If Sarah buys 4 pencils it would cost = $1
Lets make a table:
No of Pencils Purchased Cost
1 $0.25
2 $0.5
3 $0.75
4 $1
so
Cost/No of Pencils Purchased = 0.25/1 = 0.5/2 = 0.75/3 = 1/4
So cost per pencil = 0.25 : 1
Since all of the ratios are equivalent, this table is a proportional relationship.
Therefore, the number of Pencils purchased and the cost of pencils represents a proportional relationship.
