Answer:
option B) The cost of purchasing oranges for $1.50 per pound plus a shipping fee of $0.25 per pound.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Verify each case
case A) The cost of purchasing a basket of oranges for $1.80 per pound plus $5.00 for the basket
Let
x ----> the pounds of oranges
y ---> the total cost
The linear equation is equal to
[tex]y=1.80x+5[/tex]
The line not passes through the origin (because the y-intercept is not zero)
therefore
This situation not represent a proportional relationship
case B) The cost of purchasing oranges for $1.50 per pound plus a shipping fee of $0.25 per pound
Let
x ----> the pounds of oranges
y ---> the total cost
The linear equation is equal to
[tex]y=(1.50-0.25)x[/tex]
[tex]y=(1.25)x[/tex]
The line passes through the origin
therefore
This situation represent a proportional relationship
case C) The cost of purchasing oranges for $1.90 per box with a delivery charge of $3.50
Let
x ----> the number of box
y ---> the total cost
The linear equation is equal to
[tex]y=1.90x+3.50[/tex]
The line not passes through the origin (because the y-intercept is not zero)
therefore
This situation not represent a proportional relationship
case D) The cost of purchasing oranges for $1.75 per pound with a coupon for $1.00 off the total cost
Let
x ----> the pounds of oranges
y ---> the total cost
The linear equation is equal to
[tex]y=1.75x-1.00[/tex]
The line not passes through the origin (because the y-intercept is not zero)
therefore
This situation not represent a proportional relationship
