Question

at store A, pencils are sold on individually. The cost y of x pencils is represented by the equation y = 0.55x. The costs of pencils at store B are shown in the table

Answer 1

The pencils at store A cost more

Explanation:

The complete question in the attached figure

store A

we have

`y=0.55x`

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality is equal to the slope

The slope or unit rate is equal to

`m=\$0.55\ per\ pencil`

Store B

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality or slope is equal to

`k=(y)/(x)`

For (6,3.06)

substitute

`k=(3.06)/(6)`

`m=\$0.51\ per\ pencil`

The linear equation at store B is

`y=0.51x`

Verify each statement

case 1) The pencils at store A cost more

The statement is true

Because, one pencil at store A cost $0.55 and one pencil at store B cost $0.51

case 2) The pencils at store A cost $0.27 each

The statement is false

Because, one pencil at store A cost $0.55

case 3) The pencils at store B cost $0.30 each

The statement is false

Because, one pencil at store B cost $0.51

case 4) The pencils at store B cost more

The statement is false

Because, pencils at store A cost more