Answer:
Constant of proportionality k = 3.5
In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.
Step-by-step explanation:
We need to find what is the constant of proportionality, and what does it mean in this situation?
Constant of proportionality can be defined as:
[tex]if\:y\:\alpha \:x\:then\:y=kx[/tex]
Where k is constant of proportionality
It tells that there is constant increase in the value of y.
Looking at the graph,
we get Number of Quarts (x) = 1, Amount Paid (y)= 3.5
so, finding constant of proportionality
[tex]y=kx\\3.5=k(1)\\k=3.5[/tex]
Now, Number of Quarts (x) = 2, Amount Paid (y)=7
so, finding constant of proportionality
[tex]y=kx\\7=k(2)\\k=\frac{7}{2}\\k=3.5[/tex]
So, for any value of x and y, the value of k remains constant i.e 3.5
So, constant of proportionality k = 3.5
In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.
