Answer:
see the explanation
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]
Let
x ----> the number of steaks in the package
y ----> the cost
In this problem
The independent value or input value is the number of steaks (variable x)
The dependent value or output value is the cost (variable y)
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
so
[tex]k=\frac{y}{x}[/tex]
First ratio
x=7, y=44.10 ----> [tex]k=\frac{44.10}{7}\ \$/steak[/tex]
Second ratio
x=11, y=69.30 ----> [tex]k=\frac{69.30}{11}\ \$/steak[/tex]
Verify the proportions
[tex]\frac{44.10}{7}=\frac{69.30}{11}[/tex]
cross-multiplying
[tex]44.10(11)=69.30(7)[/tex]
[tex]485.1=485.1[/tex] ---> is true
therefore
The relationship between the variables, x, and y, represent a proportional variation
