The price per granola bar is the same for each quantity purchased, so the relationship is proportional.
The constant of proportionality is 1.5.
Step-by-step explanation:
Step 1:
For the given problem, the price is y and the number of granola bars is x.
To determine the constant of proportionality, we divide the value of y with the value of x.
If all the values of constant of proportionality are the same, it is a proportional relationship.
Step 2:
Assume the constant of proportionality is k.
For 2 granola bars, k [tex]=\frac{3}{2} = 1.5.[/tex]
For 4 granola bars, k [tex]=\frac{6}{4} = 1.5.[/tex]
For 6 granola bars, k [tex]=\frac{9}{6} = 1.5.[/tex]
For 8 granola bars, k [tex]=\frac{12}{8} = 1.5.[/tex]
As all the values of k are the same, it is a proportional relationship and the constant of proportionality is 1.5.
