Question

The graph shows the number of quarts picked and the amount of money the customer paid.

Answer 1

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:

$if\:y\:\alpha \:x\:then\:y=kx$

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

$y=kx\\3.5=k(1)\\k=3.5$

Now, Number of Quarts (x) = 2, Amount Paid (y)=7

so, finding constant of proportionality

$y=kx\\7=k(2)\\k=\frac{7}{2}\\k=3.5$

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.