Question

Select the correct answer from each drop-down menu.

Answer 1

Answer:

Part 1) The constant of proportionality is $k=6$

Part 2) The price of 6 bags of candy is $\ 36$

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 $y/x=k$ or $y=kx$

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)

$k=y/x$

substitute

$k=6/1=6$

The linear equation is equal to

$y=6x$

step 2

Find the price of 6 bags of candy

For x=6

substitute in the equation and solve for y

$y=6(6)=\ 36$