Answer:
The pencils at store A cost more
Step-by-step explanation:
The complete question in the attached figure
store A
we have
[tex]y=0.55x[/tex]
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
[tex]m=\$0.55\ per\ pencil[/tex]
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
[tex]k=\frac{y}{x}[/tex]
For (6,3.06)
substitute
[tex]k=\frac{3.06}{6}[/tex]
[tex]m=\$0.51\ per\ pencil[/tex]
The linear equation at store B is
[tex]y=0.51x[/tex]
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
