Question

Help me with this question please.

Answer 1

The number of Pencils purchased and the cost of pencils represents a proportional relationship.

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

• Pencils $0.25 each

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.