Help with this question please.

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

Step-by-step explanation:

In order to figure out if a proportional relationship between two variable exists,

Lets take a simple example:

As

2/10 = 9/45 is a TRUE proportion.

The reason is that both fractions reduces to 1/5, and

because  10 × 9 = 2 × 45.

So

In the equation it needs to be determined whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?

When we are given that:

In other words each pencil costs $0.25.

As each pencil costs $0.25, it means:

2 pencils cost $0.5, 3 pencils cost $0.75, and 4 pencils cost $1 and so on.

Thus

Cost ÷ No of Pencils Purchased = 0.25 ÷ 1 = 0.5 ÷ 2 = 0.75 ÷ 3 = 1 ÷ 4

And the ratio is same.

i.e. cost per pencil = 0.25 : 1

As all of the ratios are same, we can determine that it has a proportional relationship.

Therefore, the number of Pencils purchased and the cost of pencils has a proportional relationship.

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step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.