Respuesta :

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]

Answer:

6 , $36

Step-by-step explanation:

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