Answer:
Part 1) The constant of proportionality is [tex]k=6[/tex]
Part 2) The price of 6 bags of candy is [tex]\$36[/tex]
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]y/x=k[/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
step 1
Let
x ------> the number of bags of candy
y -----> the price
Observing the graph
For x=1
The value of y=6
so
Find the value of k (constant of proportionality)
[tex]k=y/x[/tex]
substitute
[tex]k=6/1=6[/tex]
The linear equation is equal to
[tex]y=6x[/tex]
step 2
Find the price of 6 bags of candy
For x=6
substitute in the equation and solve for y
[tex]y=6(6)=\$36[/tex]