In which of the following will you be able to buy the lowest cost per pencil?

Store A
$110 for 88 pencils.

Store B
c = 1.10p, where c is the total cost of the pencil and p is number of pencils

Store C
No. of Pencils.
25 = $50.00
32 = $64.00
56 = $112.00

Store D
(Look at the graph)

In which of the following will you be able to buy the lowest cost per pencil Store A 110 for 88 pencils Store B c 110p where c is the total cost of the pencil a class=

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Answer:

[tex]\large \boxed{\text{Store B}}[/tex]  

Step-by-step explanation:

The formula for the cost per pencil is

[tex]\text{Cost per pencil} = \dfrac{\text{Total cost}}{\text{Number of pencils}} \text{ or}\\\\C = \dfrac{c}{p}[/tex]

Store A

[tex]C = \dfrac{\$110}{\text{88 pencils}} = \text{\$1.25/pencil}[/tex]

Store B

[tex]c = 1.10 p\\\\1.10 = \dfrac{c}{p}\\\\C = \text{\$1.10/pencil}[/tex]

Store C

Pick one of the entries.

[tex]C = \dfrac{\$112.00}{\text{56 pencils}} = \text{\$2.00/pencil}[/tex]

Store D

Pick one of the points on the graph.

[tex]C = \dfrac{\$6}{\text{4 pencils}} = \text{\$1.50/pencil}\\\\\large \boxed{\textbf{Store B}} \text{ has the lowest cost per pencil}[/tex]