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Company A sells 500 pencils for $62.50. The equation [tex]y = 0.25x[/tex] represents the cost of buying [tex]x[/tex] number of pencils from Company B.

Which statement describes the relationship between the prices per pencil for Company A and Company B?

Answer :

Company A offers pencils at a lower price because [tex]0.125 < 0.25[/tex] and the price per pencil from Company A is cheaper than from Company B.

To find the price per pencil for both Company A and Company B, let's calculate each separately.

Company A:-

Calculate Price per Pencil
Company A sells 500 pencils for $62.50.

Price per pencil for Company A = Total Price / Number of Pencils = [tex]\frac{62.50}{500}[/tex]

Price per pencil for Company A = $0.125

Company B:-

Use Given Equation
The equation representing the cost of buying [tex]x[/tex] number of pencils from Company B is given by:-

[tex]y = 0.25x[/tex].

To find the price per pencil, we use the coefficient of [tex]x[/tex] in the equation, which is $0.25.

So, the price per pencil for Company B is $0.25.

Compare the Prices:-

Company A's price per pencil: $0.125

Company B's price per pencil: $0.25

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