Question

The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?

Answer 1

Given :

The cost of 5 pounds of boudin is $26.

To Find :

The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .

Solution :

Price per boudin in terms of x and y is :

$P=\dfrac{y}{x}$

Price per boudin by given data :

$P=\dfrac{26}{5}$

So,

$\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x$

Therefore, the constant of proportionality is $\dfrac{26}{5}$.

Hence, this is the required solution.